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Finding the Fourth Proportional to 6,702.75, 9,248.42 and 3,717.95

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Solution

The fourth proportional to 6,702.75, 9,248.42 and 3,717.95 is: 5,130.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.75 : 9,248.42 = 3,717.95 : x
  2. Step 2: Convert to fraction form
    6,702.75/9,248.42 = 3,717.95/x
  3. Step 3: Cross multiply
    6,702.75x = 9,248.42 × 3,717.95
  4. Step 4: Simplify right side
    6,702.75x = 34,385,163.14
  5. Step 5: Solve for x
    x = 34,385,163.14/6,702.75
  6. Step 6: Final answer
    x = 5,130.01

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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.