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Finding the Fourth Proportional to 24,572.76, 36,850.72 and 9,777.64

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Solution

The fourth proportional to 24,572.76, 36,850.72 and 9,777.64 is: 14,663.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,572.76 : 36,850.72 = 9,777.64 : x
  2. Step 2: Convert to fraction form
    24,572.76/36,850.72 = 9,777.64/x
  3. Step 3: Cross multiply
    24,572.76x = 36,850.72 × 9,777.64
  4. Step 4: Simplify right side
    24,572.76x = 360,313,073.90
  5. Step 5: Solve for x
    x = 360,313,073.90/24,572.76
  6. Step 6: Final answer
    x = 14,663.11

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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.