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Finding the Fourth Proportional to 9,398.52, 14,092.32 and 5,454.63

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Solution

The fourth proportional to 9,398.52, 14,092.32 and 5,454.63 is: 8,178.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.52 : 14,092.32 = 5,454.63 : x
  2. Step 2: Convert to fraction form
    9,398.52/14,092.32 = 5,454.63/x
  3. Step 3: Cross multiply
    9,398.52x = 14,092.32 × 5,454.63
  4. Step 4: Simplify right side
    9,398.52x = 76,868,391.44
  5. Step 5: Solve for x
    x = 76,868,391.44/9,398.52
  6. Step 6: Final answer
    x = 8,178.78

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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.