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Finding the Fourth Proportional to 9,193.73, 12,691.13 and 6,956.30

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Solution

The fourth proportional to 9,193.73, 12,691.13 and 6,956.30 is: 9,602.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.73 : 12,691.13 = 6,956.30 : x
  2. Step 2: Convert to fraction form
    9,193.73/12,691.13 = 6,956.30/x
  3. Step 3: Cross multiply
    9,193.73x = 12,691.13 × 6,956.30
  4. Step 4: Simplify right side
    9,193.73x = 88,283,209.38
  5. Step 5: Solve for x
    x = 88,283,209.38/9,193.73
  6. Step 6: Final answer
    x = 9,602.55

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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.