Answer:
The number that makes the ratio equivalent to 7:9 is 9.
Explanation:
To find the number that makes the ratio equivalent to 7:9, we need to determine the scaling factor between the two ratios. The scaling factor is the number by which we can multiply both the numerator and denominator of the given ratio to obtain the desired ratio.
Let's represent the unknown number as "x."
The given ratio is 7:9, which means the numerator is 7 and the denominator is 9.
To find the scaling factor, we can set up the following equation:
7/x = 7/9
To solve for x, we can cross-multiply:
7 * 9 = 7 * x
63 = 7x
Divide both sides of the equation by 7:
63/7 = 7x/7
9 = x
Therefore, the number that makes the ratio equivalent to 7:9 is 9.