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Finding the Fourth Proportional to 6,679.69, 9,217.26 and 3,695.45

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Solution

The fourth proportional to 6,679.69, 9,217.26 and 3,695.45 is: 5,099.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,679.69 : 9,217.26 = 3,695.45 : x
  2. Step 2: Convert to fraction form
    6,679.69/9,217.26 = 3,695.45/x
  3. Step 3: Cross multiply
    6,679.69x = 9,217.26 × 3,695.45
  4. Step 4: Simplify right side
    6,679.69x = 34,061,877.38
  5. Step 5: Solve for x
    x = 34,061,877.38/6,679.69
  6. Step 6: Final answer
    x = 5,099.32

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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.