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Finding the Fourth Proportional to 6,702.20, 10,013.64 and 6,472.52

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Solution

The fourth proportional to 6,702.20, 10,013.64 and 6,472.52 is: 9,670.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.20 : 10,013.64 = 6,472.52 : x
  2. Step 2: Convert to fraction form
    6,702.20/10,013.64 = 6,472.52/x
  3. Step 3: Cross multiply
    6,702.20x = 10,013.64 × 6,472.52
  4. Step 4: Simplify right side
    6,702.20x = 64,813,485.17
  5. Step 5: Solve for x
    x = 64,813,485.17/6,702.20
  6. Step 6: Final answer
    x = 9,670.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.