Answer :
If the unknown value is x, then x = [tex]\frac{14}{4}[/tex] × 6 = 21.
Explanation:
- Since it is a double number line with a ratio, all the ratios of one number line to the other will remain equal for all the values along both the number lines. Assume the unknown value to be x.
- The ratio of the number on the first number line to the corresponding number on the second number line is calculated to be; [tex]\frac{7}{2}[/tex] = [tex]\frac{14}{4}[/tex] = [tex]\frac{x}{6}[/tex] = [tex]\frac{28}{8}[/tex] = [tex]\frac{35}{10}[/tex] = 3.5. So [tex]\frac{x}{6}[/tex] = 3.5, x = 3.5 × 6 = 21.
- We can also calculate x by the following method. As ratios are equal we can directly substitute the value to another ration. So [tex]\frac{14}{4}[/tex] = [tex]\frac{x}{6}[/tex], x = [tex]\frac{14}{4}[/tex] × 6 = [tex]\frac{84}{4}[/tex] = 21.