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Finding the Fourth Proportional to 8,735, 12,046.32 and 6,502.52

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Solution

The fourth proportional to 8,735, 12,046.32 and 6,502.52 is: 8,967.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735 : 12,046.32 = 6,502.52 : x
  2. Step 2: Convert to fraction form
    8,735/12,046.32 = 6,502.52/x
  3. Step 3: Cross multiply
    8,735x = 12,046.32 × 6,502.52
  4. Step 4: Simplify right side
    8,735x = 78,331,436.73
  5. Step 5: Solve for x
    x = 78,331,436.73/8,735
  6. Step 6: Final answer
    x = 8,967.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.