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Finding the Fourth Proportional to 6,695.33, 9,240 and 3,711.29

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Solution

The fourth proportional to 6,695.33, 9,240 and 3,711.29 is: 5,121.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.33 : 9,240 = 3,711.29 : x
  2. Step 2: Convert to fraction form
    6,695.33/9,240 = 3,711.29/x
  3. Step 3: Cross multiply
    6,695.33x = 9,240 × 3,711.29
  4. Step 4: Simplify right side
    6,695.33x = 34,292,319.60
  5. Step 5: Solve for x
    x = 34,292,319.60/6,695.33
  6. Step 6: Final answer
    x = 5,121.83

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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.