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Finding the Fourth Proportional to 6,701.49, 9,247.99 and 3,717.25

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Solution

The fourth proportional to 6,701.49, 9,247.99 and 3,717.25 is: 5,129.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.49 : 9,247.99 = 3,717.25 : x
  2. Step 2: Convert to fraction form
    6,701.49/9,247.99 = 3,717.25/x
  3. Step 3: Cross multiply
    6,701.49x = 9,247.99 × 3,717.25
  4. Step 4: Simplify right side
    6,701.49x = 34,377,065.38
  5. Step 5: Solve for x
    x = 34,377,065.38/6,701.49
  6. Step 6: Final answer
    x = 5,129.76

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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.