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Finding the Fourth Proportional to 6,469.76, 9,702.26 and 2,308.66

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Solution

The fourth proportional to 6,469.76, 9,702.26 and 2,308.66 is: 3,462.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.76 : 9,702.26 = 2,308.66 : x
  2. Step 2: Convert to fraction form
    6,469.76/9,702.26 = 2,308.66/x
  3. Step 3: Cross multiply
    6,469.76x = 9,702.26 × 2,308.66
  4. Step 4: Simplify right side
    6,469.76x = 22,399,189.54
  5. Step 5: Solve for x
    x = 22,399,189.54/6,469.76
  6. Step 6: Final answer
    x = 3,462.13

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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.