How do you solve the proportion 7/10 = 14/x?

To solve the proportion 7/10 = 14/x, cross-multiply and then solve for x.

In more detail, solving a proportion involves finding the value of the unknown variable that makes the two ratios equal. Here, we have the proportion 7/10 = 14/x. To solve this, we use a method called cross-multiplication. Cross-multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction and setting the two products equal to each other.

First, cross-multiply the fractions:
7 * x = 10 * 14

This simplifies to:
7x = 140

Next, solve for x by isolating the variable. To do this, divide both sides of the equation by 7:
7x / 7 = 140 / 7

This simplifies to:
x = 20

So, the value of x that makes the proportion 7/10 equal to 14/x is 20. This method ensures that the two ratios are equivalent, maintaining the balance of the proportion.