Draw $\Delta XYZ$ with $XY = 4\, cm$,$YZ = 6\, cm$,and $XZ = 7\, cm$. Then,construct $\Delta YMN$ similar to $\Delta XYZ$ with a scale factor of $\frac{4}{3}$. Write the steps of construction.

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(N/A) Steps of construction:
$1$. Draw a line segment $YZ = 6\, cm$.
$2$. With $Y$ as the center and radius $4\, cm$,draw an arc.
$3$. With $Z$ as the center and radius $7\, cm$,draw another arc intersecting the previous arc at point $X$.
$4$. Join $XY$ and $XZ$ to form $\Delta XYZ$.
$5$. Draw an acute angle $\angle ZYA$ at vertex $Y$ below the line $YZ$.
$6$. Mark $4$ points $Y_1, Y_2, Y_3, Y_4$ on $YA$ such that $YY_1 = Y_1Y_2 = Y_2Y_3 = Y_3Y_4$.
$7$. Join $Y_3$ to $Z$.
$8$. Draw a line through $Y_4$ parallel to $Y_3Z$ intersecting the extended line $YZ$ at $N$.
$9$. Draw a line through $N$ parallel to $XZ$ intersecting the extended line $YX$ at $M$.
$10$. $\Delta YMN$ is the required triangle.

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