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Finding the Fourth Proportional to 7,441.46, 11,162.16 and 2,824.46

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Solution

The fourth proportional to 7,441.46, 11,162.16 and 2,824.46 is: 4,236.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.46 : 11,162.16 = 2,824.46 : x
  2. Step 2: Convert to fraction form
    7,441.46/11,162.16 = 2,824.46/x
  3. Step 3: Cross multiply
    7,441.46x = 11,162.16 × 2,824.46
  4. Step 4: Simplify right side
    7,441.46x = 31,527,074.43
  5. Step 5: Solve for x
    x = 31,527,074.43/7,441.46
  6. Step 6: Final answer
    x = 4,236.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.