Using proportions, it is found that the length of AC is of 15 units.
What is a proportion?
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The ratios in this problem are given as follows:
- [tex]\frac{AB}{BC} = \frac{3}{2}[/tex].
- [tex]\frac{BC}{CD} = \frac{2}{1}[/tex].
- [tex]\frac{AB}{CD} = \frac{3}{1}[/tex].
The entire length is of 18 units, AB is half of that, hence:
AB = 0.5 x 18 = 9 units.
BC is two thirds of the length from 6 to 15, hence:
BC = 2/3 x (15 - 6) = 6
Thus, the length of AC is:
AC = 9 + 6 = 15 units.
More can be learned about proportions at https://brainly.com/question/24372153
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