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Finding the Fourth Proportional to 8,402.54, 11,600.49 and 7,468.37

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Solution

The fourth proportional to 8,402.54, 11,600.49 and 7,468.37 is: 10,310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.54 : 11,600.49 = 7,468.37 : x
  2. Step 2: Convert to fraction form
    8,402.54/11,600.49 = 7,468.37/x
  3. Step 3: Cross multiply
    8,402.54x = 11,600.49 × 7,468.37
  4. Step 4: Simplify right side
    8,402.54x = 86,636,693.50
  5. Step 5: Solve for x
    x = 86,636,693.50/8,402.54
  6. Step 6: Final answer
    x = 10,310.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.