Question

find the number that makes the ratio equivalent to 99:22. 9:□

Explanation:

Step1: Find the scale factor

To find the number that makes the ratio \(9:\square\) equivalent to \(99:22\), we first find the scale factor by dividing the first term of the new ratio by the first term of the original ratio. So, the scale factor \(k=\frac{9}{99}=\frac{1}{11}\).

Step2: Apply the scale factor to the second term

Now, we apply this scale factor to the second term of the original ratio (\(22\)) to find the missing number. Let the missing number be \(x\). Then \(x = 22\times\frac{1}{11}=2\).

Answer:

\(2\)