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Finding the Fourth Proportional to 6,584.61, 9,876.69 and 1,654.29

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Solution

The fourth proportional to 6,584.61, 9,876.69 and 1,654.29 is: 2,481.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.61 : 9,876.69 = 1,654.29 : x
  2. Step 2: Convert to fraction form
    6,584.61/9,876.69 = 1,654.29/x
  3. Step 3: Cross multiply
    6,584.61x = 9,876.69 × 1,654.29
  4. Step 4: Simplify right side
    6,584.61x = 16,338,909.50
  5. Step 5: Solve for x
    x = 16,338,909.50/6,584.61
  6. Step 6: Final answer
    x = 2,481.38

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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.