This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
To find the missing number in each ratio, we use the principle that equivalent ratios have the same proportion. If a:b = c:d, then (a)/(b) = (c)/(d). We can solve for the missing number d by cross-multiplication: ad = bc, so d = (bc)/(a). 1) Find the missing number for 2:3 = 4:_ Step 1: Set up the proportion. (2)/(3) = (4)/(x) Step 2: Cross-multiply to solve for x. 2x = 3 × 4 2x = 12 Step 3: Divide to find x. x = (12)/(2) x = 6 The missing number is 6. 2) Find the missing number for 3:6 = 6:_ Step 1: Set up the proportion. (3)/(6) = (6)/(x) Step 2: Cross-multiply to solve for x. 3x = 6 × 6 3x = 36 Step 3: Divide to find x. x = (36)/(3) x = 12 The missing number is 12. 3) Find the missing number for 4:7 = 8:_ Step 1: Set up the proportion. (4)/(7) = (8)/(x) Step 2: Cross-multiply to solve for x. 4x = 7 × 8 4x = 56 Step 3: Divide to find x. x = (56)/(4) x = 14 The missing number is 14. 4) Find the missing number for 5:2 = 15:_ Step 1: Set up the proportion. (5)/(2) = (15)/(x) Step 2: Cross-multiply to solve for x. 5x = 2 × 15 5x = 30 Step 3: Divide to find x. x = (30)/(5) x = 6 The missing number is 6. Drop the next question! 📸