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Finding the Fourth Proportional to 20,037.52, 30,057 and 5,997.70

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Solution

The fourth proportional to 20,037.52, 30,057 and 5,997.70 is: 8,996.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,037.52 : 30,057 = 5,997.70 : x
  2. Step 2: Convert to fraction form
    20,037.52/30,057 = 5,997.70/x
  3. Step 3: Cross multiply
    20,037.52x = 30,057 × 5,997.70
  4. Step 4: Simplify right side
    20,037.52x = 180,272,868.90
  5. Step 5: Solve for x
    x = 180,272,868.90/20,037.52
  6. Step 6: Final answer
    x = 8,996.77

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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.