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Finding the Fourth Proportional to 6,654.92, 9,982.43 and 3,181.64

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Solution

The fourth proportional to 6,654.92, 9,982.43 and 3,181.64 is: 4,772.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.92 : 9,982.43 = 3,181.64 : x
  2. Step 2: Convert to fraction form
    6,654.92/9,982.43 = 3,181.64/x
  3. Step 3: Cross multiply
    6,654.92x = 9,982.43 × 3,181.64
  4. Step 4: Simplify right side
    6,654.92x = 31,760,498.59
  5. Step 5: Solve for x
    x = 31,760,498.59/6,654.92
  6. Step 6: Final answer
    x = 4,772.48

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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.