Answer :
The value of "x" is 5.5
Solution:
Given that we have to solve the proportion
[tex]\frac{3x - 4}{14} = \frac{9}{10}[/tex]
We can solve the above given proportion for "x" by cross multiplying
Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction
Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction
Set the two products equal to each other
Solve for the variable "x"
[tex]\rightarrow \frac{3x - 4}{14} = \frac{9}{10}\\\\\rightarrow 10(3x - 4) = 14 \times 9\\\\\rightarrow 30x - 40 = 126\\\\\rightarrow 30x = 126 + 40\\\\\rightarrow 30x = 166\\\\\rightarrow x = 5.533[/tex]
On rounding to nearest tenth we get 5.5
Thus value of "x" is 5.5