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Finding the Fourth Proportional to 10,468.60, 15,671.72 and 6,946.43

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Solution

The fourth proportional to 10,468.60, 15,671.72 and 6,946.43 is: 10,398.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.60 : 15,671.72 = 6,946.43 : x
  2. Step 2: Convert to fraction form
    10,468.60/15,671.72 = 6,946.43/x
  3. Step 3: Cross multiply
    10,468.60x = 15,671.72 × 6,946.43
  4. Step 4: Simplify right side
    10,468.60x = 108,862,444.97
  5. Step 5: Solve for x
    x = 108,862,444.97/10,468.60
  6. Step 6: Final answer
    x = 10,398.95

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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.