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Finding the Fourth Proportional to 6,654.38, 9,983.52 and 1,974.40

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Solution

The fourth proportional to 6,654.38, 9,983.52 and 1,974.40 is: 2,962.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.38 : 9,983.52 = 1,974.40 : x
  2. Step 2: Convert to fraction form
    6,654.38/9,983.52 = 1,974.40/x
  3. Step 3: Cross multiply
    6,654.38x = 9,983.52 × 1,974.40
  4. Step 4: Simplify right side
    6,654.38x = 19,711,436.93
  5. Step 5: Solve for x
    x = 19,711,436.93/6,654.38
  6. Step 6: Final answer
    x = 2,962.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.