To make things easier....multiply all three sides by 3
Semiperimeter = ( 4 + 6 + 7) / 2 = 8.5
Area of this triangle = sqrt [ 8.5 (8.5 - 4) (8.5- 6) (8.5 - 7) ] ≈ 11.98
The scale factor of the given triangle to this one = 1/3
The area of the given triangle = 11.98 * scale factor^2 = 11.98 * (1/3)^2 ≈ 1.33 units^2