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Finding the Fourth Proportional to 8,362.62, 12,542.33 and 4,201.47

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Solution

The fourth proportional to 8,362.62, 12,542.33 and 4,201.47 is: 6,301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.62 : 12,542.33 = 4,201.47 : x
  2. Step 2: Convert to fraction form
    8,362.62/12,542.33 = 4,201.47/x
  3. Step 3: Cross multiply
    8,362.62x = 12,542.33 × 4,201.47
  4. Step 4: Simplify right side
    8,362.62x = 52,696,244.08
  5. Step 5: Solve for x
    x = 52,696,244.08/8,362.62
  6. Step 6: Final answer
    x = 6,301.41

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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.