HELPPPP
What is the value of x for this question? show work pls im confused

Answer:
Step-by-step explanation:
In similar polygons, corresponding sides are in same proportion
[tex]\dfrac{GK}{VR}=\dfrac{KN}{RP}\\\\\\\dfrac{14.7}{6.3}=\dfrac{x+1}{4x-3}\\\\\dfrac{0.7*10}0.3*10}=\dfrac{x+1}{4x-3}\\\\\dfrac{7}{3}=\dfrac{x+1}{4x-3}[/tex]
Cross multiply
7*(4x-3)=3*(x+1)
28x - 21 = 3x + 3
28x - 3x - 21 = 3
25x = 3 + 21
25x = 24
x = 24/25
x = 0.96
Scale factor = 7 : 3