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Finding the Fourth Proportional to 6,469.61, 9,702.01 and 2,308.50

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Solution

The fourth proportional to 6,469.61, 9,702.01 and 2,308.50 is: 3,461.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.61 : 9,702.01 = 2,308.50 : x
  2. Step 2: Convert to fraction form
    6,469.61/9,702.01 = 2,308.50/x
  3. Step 3: Cross multiply
    6,469.61x = 9,702.01 × 2,308.50
  4. Step 4: Simplify right side
    6,469.61x = 22,397,092.97
  5. Step 5: Solve for x
    x = 22,397,092.97/6,469.61
  6. Step 6: Final answer
    x = 3,461.89

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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.