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Finding the Fourth Proportional to 6,702.16, 9,248.82 and 3,718

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Solution

The fourth proportional to 6,702.16, 9,248.82 and 3,718 is: 5,130.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.16 : 9,248.82 = 3,718 : x
  2. Step 2: Convert to fraction form
    6,702.16/9,248.82 = 3,718/x
  3. Step 3: Cross multiply
    6,702.16x = 9,248.82 × 3,718
  4. Step 4: Simplify right side
    6,702.16x = 34,387,112.76
  5. Step 5: Solve for x
    x = 34,387,112.76/6,702.16
  6. Step 6: Final answer
    x = 5,130.75

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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.