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Finding the Fourth Proportional to 9,402.73, 12,946.17 and 7,157.41

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Solution

The fourth proportional to 9,402.73, 12,946.17 and 7,157.41 is: 9,854.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.73 : 12,946.17 = 7,157.41 : x
  2. Step 2: Convert to fraction form
    9,402.73/12,946.17 = 7,157.41/x
  3. Step 3: Cross multiply
    9,402.73x = 12,946.17 × 7,157.41
  4. Step 4: Simplify right side
    9,402.73x = 92,661,046.62
  5. Step 5: Solve for x
    x = 92,661,046.62/9,402.73
  6. Step 6: Final answer
    x = 9,854.70

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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.