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Finding the Fourth Proportional to 6,702.52, 10,062.42 and 3,626.68

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Solution

The fourth proportional to 6,702.52, 10,062.42 and 3,626.68 is: 5,444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.52 : 10,062.42 = 3,626.68 : x
  2. Step 2: Convert to fraction form
    6,702.52/10,062.42 = 3,626.68/x
  3. Step 3: Cross multiply
    6,702.52x = 10,062.42 × 3,626.68
  4. Step 4: Simplify right side
    6,702.52x = 36,493,177.37
  5. Step 5: Solve for x
    x = 36,493,177.37/6,702.52
  6. Step 6: Final answer
    x = 5,444.70

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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.