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Finding the Fourth Proportional to 7,700.10, 11,542.24 and 5,847.27

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Solution

The fourth proportional to 7,700.10, 11,542.24 and 5,847.27 is: 8,764.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.10 : 11,542.24 = 5,847.27 : x
  2. Step 2: Convert to fraction form
    7,700.10/11,542.24 = 5,847.27/x
  3. Step 3: Cross multiply
    7,700.10x = 11,542.24 × 5,847.27
  4. Step 4: Simplify right side
    7,700.10x = 67,490,593.68
  5. Step 5: Solve for x
    x = 67,490,593.68/7,700.10
  6. Step 6: Final answer
    x = 8,764.90

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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.