The unknown length, x, in the smaller quadrilateral is 3 cm
Solution:
Given that,
The proportion can be solved to find the unknown length , x, in the smaller quadrilateral
Given proportion is:
![(x)/(1.5) = (9)/(4.5)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/273egwfhtdlxsr8ek4rhx4emze5op3y23t.png)
We have to find the value of "x"
From given proportion,
![(x)/(1.5) = (9)/(4.5)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/273egwfhtdlxsr8ek4rhx4emze5op3y23t.png)
Cross multiply the numerator of left side fraction with denominator of right side fraction
Multiply the numerator of right side fraction with denominator of left side fraction
Solve for x
![x * 4.5 = 9 * 1.5\\\\4.5x = 13.5\\\\x = (13.5)/(4.5)\\\\x = 3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/15y73cxjezoes44vk9qwepcwgz0ccg9i1z.png)
Thus unknown length, x, in the smaller quadrilateral is 3 cm