Question

8 grid: top - right cell 6, bottom - left cell 72, bottom - right cell 16, top - left cell blank (surrounded by horizontal/vertical lines)

Explanation:

Step1: Find the relationship between 16 and 6

We can see that \( 16\div 6=\frac{8}{3} \)? No, maybe vertical or horizontal multiplication/division. Let's check horizontal: 6 and 16, 72 and the unknown. Wait, maybe vertical: 6 and 16, 72 and x. Let's see \( 16\div 6=\frac{8}{3} \), no. Wait, 16 and 6: 16 = 6×2 + 4? No. Wait, maybe 16 is 6×(8/3), no. Wait, 72 and 16: 72÷16 = 4.5, 6×4.5 = 27? Wait, 16×4.5 = 72, so 6×4.5 = 27? Let's check: 6 and 16, 27 and 72. 16×4.5 = 72, 6×4.5 = 27. Yes, that works. So the unknown is 27.

Step2: Verify the relationship

Check if 72 is to 16 as 27 is to 6. \( \frac{72}{16}=\frac{9}{2} \), \( \frac{27}{6}=\frac{9}{2} \). Yes, the ratios are equal. So the unknown number is 27.

Answer:

27