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Finding the Fourth Proportional to 7,572.68, 11,365.90 and 3,877.46

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Solution

The fourth proportional to 7,572.68, 11,365.90 and 3,877.46 is: 5,819.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.68 : 11,365.90 = 3,877.46 : x
  2. Step 2: Convert to fraction form
    7,572.68/11,365.90 = 3,877.46/x
  3. Step 3: Cross multiply
    7,572.68x = 11,365.90 × 3,877.46
  4. Step 4: Simplify right side
    7,572.68x = 44,070,822.61
  5. Step 5: Solve for x
    x = 44,070,822.61/7,572.68
  6. Step 6: Final answer
    x = 5,819.71

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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.