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Finding the Fourth Proportional to 6,502.32, 9,753.03 and 2,603.97

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Solution

The fourth proportional to 6,502.32, 9,753.03 and 2,603.97 is: 3,905.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.32 : 9,753.03 = 2,603.97 : x
  2. Step 2: Convert to fraction form
    6,502.32/9,753.03 = 2,603.97/x
  3. Step 3: Cross multiply
    6,502.32x = 9,753.03 × 2,603.97
  4. Step 4: Simplify right side
    6,502.32x = 25,396,597.53
  5. Step 5: Solve for x
    x = 25,396,597.53/6,502.32
  6. Step 6: Final answer
    x = 3,905.77

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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.