Complete the ratio table.
7 13
[__] 26
[__] 65
[__] 78
49 91
To complete the ratio table, we need to find the missing values that satisfy the given ratio.
The ratio between the first and second numbers is 7:13. So, we can find the missing value using the proportion:
7/13 = x/26
Cross multiplying, we get:
13x = 7 * 26
13x = 182
Solving for x, we find:
x = 182/13
x ≈ 14
Therefore, the missing value in the first column is approximately 14.
Applying the same process, we can find the missing values for the other columns:
13/26 = x/65
26x = 13 * 65
26x = 845
x = 845/26
x ≈ 32.5
Therefore, the missing value in the second column is approximately 32.5.
49/91 = x/78
91x = 49 * 78
91x = 3822
x = 3822/91
x ≈ 42
Therefore, the missing value in the third column is approximately 42.
The complete ratio table is:
7 13
14 26
32.5 65
49 78
49 91