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Finding the Fourth Proportional to 37,687.20, 56,530.56 and 9,985.20

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Solution

The fourth proportional to 37,687.20, 56,530.56 and 9,985.20 is: 14,977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,687.20 : 56,530.56 = 9,985.20 : x
  2. Step 2: Convert to fraction form
    37,687.20/56,530.56 = 9,985.20/x
  3. Step 3: Cross multiply
    37,687.20x = 56,530.56 × 9,985.20
  4. Step 4: Simplify right side
    37,687.20x = 564,468,947.71
  5. Step 5: Solve for x
    x = 564,468,947.71/37,687.20
  6. Step 6: Final answer
    x = 14,977.74

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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.