Write the ratio 12:9 as an equivalent ratio of 4:x
To find the equivalent ratio of 12:9 as 4:x, we need to determine what value of x will maintain the same ratio.
We can start by simplifying the ratio 12:9 by dividing both the numerator and denominator by 3:
12/3 : 9/3
4 : 3
Now we can compare this to the ratio 4:x:
4 : x
We know that the ratios 4:3 and 4:x must be equal. To find x, 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 is equivalent to 4:3.
Why did the number 12 go on a diet? Because it wanted to bulk up its ratio! Anyway, let's solve your question. To find the equivalent ratio of 12:9 to 4:x, we need to find the value of x. We can do this by setting up a proportion:
12/9 = 4/x
To solve for x, cross-multiply:
12x = 4 * 9
12x = 36
Dividing both sides by 12:
x = 36/12
x = 3
So, the equivalent ratio of 12:9 as 4:x is 4:3. Voila!
To find an equivalent ratio, we can set up a proportion by cross-multiplying.
The given ratio is 12:9, and we want to find the ratio in terms of 4:x.
Cross-multiplying, we get:
12 * x = 9 * 4
Simplifying, we have:
12x = 36
Dividing both sides by 12, we get:
x = 36/12
The equivalent ratio is 4:3.
To solve this problem, we can set up a proportion between the two ratios and solve for the missing value.
The given ratio is 12:9, and we want it to be equivalent to 4:x.
Step 1: Set up the proportion:
12/9 = 4/x
Step 2: Cross-multiply:
12x = 4 * 9
Step 3: Simplify:
12x = 36
Step 4: Solve for x by dividing both sides by 12:
x = 36/12
Step 5: Simplify:
x = 3
Therefore, the equivalent ratio for 12:9 as 4:x is 4:3.