1.) (1/6)*(1/6)=1/36
2.) (1/2)*(1/6)=1/12
3.) (1/2)*(1/3)=1/6
4.) (5/6)*(1/3)=5/18
The size of the next smaller scale wil about 1.464.
The scale factor represents the change between the different sizes. We multiply by it to increase and divide by it to reduce.
1.772 / 1.21 = 1.464
Answer: C
Step-by-step explanation:
By the difference of squares, 
If there are x boys, there are 2x girls. boys+girls=27 gives x+2x=27. Solving, 3x=27 or x=9. Since there are 2x girls, there are 2*9=19 girls.