Question

complete the ratio table.

3	4
6	□
9	12
12	□
15	20

Explanation:

Step1: Identify the ratio

First, we check the ratio between the first column and the second column. For the first row, \( \frac{4}{3} \) is the ratio? Wait, no, let's check the third row: \( \frac{12}{9}=\frac{4}{3} \), fifth row: \( \frac{20}{15}=\frac{4}{3} \). So the ratio of the second number to the first number is \( \frac{4}{3} \), or we can say the first number times \( \frac{4}{3} \) gives the second number. Alternatively, the first column is multiplied by \( \frac{4}{3} \) to get the second column.

Step2: Find the missing value for 6

For the second row, first number is 6. So we multiply 6 by \( \frac{4}{3} \). \( 6\times\frac{4}{3} = 8 \).

Step3: Find the missing value for 12

For the fourth row, first number is 12. Multiply 12 by \( \frac{4}{3} \). \( 12\times\frac{4}{3}=16 \).

Answer:

The missing values are 8 (for the second row, second column) and 16 (for the fourth row, second column). So the completed table has 8 in the second row, second column and 16 in the fourth row, second column.