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Finding the Fourth Proportional to 6,702.69, 9,248.34 and 3,717.89

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Solution

The fourth proportional to 6,702.69, 9,248.34 and 3,717.89 is: 5,129.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.69 : 9,248.34 = 3,717.89 : x
  2. Step 2: Convert to fraction form
    6,702.69/9,248.34 = 3,717.89/x
  3. Step 3: Cross multiply
    6,702.69x = 9,248.34 × 3,717.89
  4. Step 4: Simplify right side
    6,702.69x = 34,384,245.97
  5. Step 5: Solve for x
    x = 34,384,245.97/6,702.69
  6. Step 6: Final answer
    x = 5,129.92

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1.5x scale

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.