Question

Solve the proportion (find the value of x):

9:14 :: x:56
(9/14 = x/56)

A. x = 14
B. x = 25
C. x = 36
D. x = 42

Answer 1

To solve the proportion 9/14 = x/56, cross multiply to get 504 equals 14x, then divide both sides by 14 to find that x equals 36.

Step-by-step explanation:

The student is asking to solve the proportion to find the value of x in the expression 9:14 :: x:56, which can be written as the fraction 9/14 = x/56. To solve for x, we cross multiply: 9 times 56 equals 14 times x. When we perform the multiplication, we get 504 equals 14x. To isolate x, we divide both sides of the equation by 14. So, x equals 504 divided by 14, which simplifies to x equals 36.

The step-by-step explanation is as follows:

1. Set up the proportion: 9/14 = x/56
2. Cross multiply to get 9 * 56 = 14 * x
3. Calculate 9 * 56 = 504
4. Divide both sides by 14 to solve for x: 504/14 = 36
5. Therefore, x equals 36