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Finding the Fourth Proportional to 37,487.88, 56,228.10 and 9,785.88

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Solution

The fourth proportional to 37,487.88, 56,228.10 and 9,785.88 is: 14,677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,487.88 : 56,228.10 = 9,785.88 : x
  2. Step 2: Convert to fraction form
    37,487.88/56,228.10 = 9,785.88/x
  3. Step 3: Cross multiply
    37,487.88x = 56,228.10 × 9,785.88
  4. Step 4: Simplify right side
    37,487.88x = 550,241,439.23
  5. Step 5: Solve for x
    x = 550,241,439.23/37,487.88
  6. Step 6: Final answer
    x = 14,677.85

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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.