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Finding the Fourth Proportional to 6,164.60, 9,248.10 and 2,654.60

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Solution

The fourth proportional to 6,164.60, 9,248.10 and 2,654.60 is: 3,982.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.60 : 9,248.10 = 2,654.60 : x
  2. Step 2: Convert to fraction form
    6,164.60/9,248.10 = 2,654.60/x
  3. Step 3: Cross multiply
    6,164.60x = 9,248.10 × 2,654.60
  4. Step 4: Simplify right side
    6,164.60x = 24,550,006.26
  5. Step 5: Solve for x
    x = 24,550,006.26/6,164.60
  6. Step 6: Final answer
    x = 3,982.42

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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.