Write the ratio 12:9 as an equivalent ratio of 4:x
To find an equivalent ratio, we need to find a value of x that will maintain the same ratio as 12:9.
First, we find the common ratio by dividing both numbers in the given ratio by their greatest common divisor, which is 3.
12 ÷ 3 = 4
9 ÷ 3 = 3
So, the simplified ratio is 4:3.
To find an equivalent ratio of 4:x, we need to find a value of x that will maintain the same ratio.
Since the ratio is 4:3, we can set up a proportion:
4/3 = 4/x
To solve for x, we can cross-multiply:
4x = 4 * 3
4x = 12
Divide both sides by 4 to solve for x:
x = 12/4
x = 3
So, the equivalent ratio of 12:9 as 4:x is 4:3.
To find an equivalent ratio, we can set up a proportion and solve for the missing term. The ratio 12:9 can be written as 12/9.
So, we now have:
12/9 = 4/x
To solve for x, we can cross multiply:
12 * x = 4 * 9
This simplifies to:
12x = 36
To isolate x, we divide both sides of the equation by 12:
x = 36/12
Simplifying, we find:
x = 3
Therefore, the equivalent ratio to 12:9 in the ratio form of 4:x is 4:3.
To find an equivalent ratio, we need to determine the value of 'x' in the ratio 4:x that is equivalent to the ratio 12:9.
To do this, we can set up a proportion using the given ratios:
12/9 = 4/x
To solve this proportion for 'x', we can cross-multiply:
12x = 4 * 9
Multiplying 4 by 9 gives us 36:
12x = 36
To isolate 'x', we divide both sides of the equation by 12:
x = 36/12
Simplifying the right side of the equation gives us:
x = 3
Therefore, the equivalent ratio to 12:9 in terms of 4:x is 4:3.