Creatively conceptualize an arithmetic problem. Display an arrangement of 12 objects and 9 objects together on the right side of the frame. The objects could be concrete items like apples or abstract shapes like circles, creating a sense of ratio. On the left side of the frame, display 4 similar objects and an empty space symbolized by a question mark, indicating the unknown 'x' amount. The idea is to represent the proportional relationship between 12:9 and 4:x visually. Make the image boldly-colored, and discernibly abstract, yet grounding in reality.

Write the ratio 12:9 as an equivalent ratio of 4:x.(1 point)

To find the equivalent ratio of 4:x, we need to first simplify the ratio of 12:9 by dividing both sides by their greatest common factor:

12 ÷ 3 = 4
9 ÷ 3 = 3

So the simplified ratio is 4:3. Now we need to find what value x is in the equivalent ratio of 4:x. We know that the two ratios are equal, so we can set up a proportion:

4 / 3 = 4 / x

To solve for x, we can cross-multiply:

4x = 12
x = 3

Therefore, the equivalent ratio of 12:9 as 4:x is 4:3, or 12:9 as 4:3.

Well, if we have the ratio 12:9, we can simplify it by dividing both numbers by their greatest common factor, which in this case is 3. So, 12 divided by 3 is 4, and 9 divided by 3 is 3. Therefore, the equivalent ratio of 12:9 is 4:3. As for x, well, x is like the mysterious clown hiding in a box. We don't know what it is, but with a little math magic, we can find out that x is equal to 3. So, the equivalent ratio of 12:9 as 4:x is 4:3. Ta-da!

Write the ratio 12:9 as an equivalent ratio of 4:x .(1 point)

To find an equivalent ratio of 12:9 in the form 4:x, we can start by simplifying the given ratio.

We can divide both the terms of the ratio, 12 and 9, by their greatest common divisor (GCD) to simplify it.
The GCD of 12 and 9 is 3, so we divide both terms by 3:

12 ÷ 3 = 4
9 ÷ 3 = 3

Therefore, the simplified form of the ratio 12:9 is 4:3.

To express it as a ratio of 4:x, we can assume that the term x is a multiple of 3, as we divided by 3 to simplify the ratio.

If we let x = 9, then the ratio 4:3 is equivalent to the ratio 4:9.

Hence, the equivalent ratio of 12:9 as a ratio of 4:x is 4:9.

To find an equivalent ratio to 12:9 in the form 4:x, we need to determine the value of x that maintains the same ratio.

To do this, we can set up a proportion:

12/9 = 4/x

Next, we can cross-multiply:

12 * x = 9 * 4

This simplifies to:
12x = 36

To solve for x, divide both sides of the equation by 12:

x = 36/12

Simplifying further gives:

x = 3

Therefore, the equivalent ratio to 12:9 in the form 4:x is 4:3.