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Finding the Fourth Proportional to 6,734.91, 9,293.94 and 3,750.59

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Solution

The fourth proportional to 6,734.91, 9,293.94 and 3,750.59 is: 5,175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.91 : 9,293.94 = 3,750.59 : x
  2. Step 2: Convert to fraction form
    6,734.91/9,293.94 = 3,750.59/x
  3. Step 3: Cross multiply
    6,734.91x = 9,293.94 × 3,750.59
  4. Step 4: Simplify right side
    6,734.91x = 34,857,729.38
  5. Step 5: Solve for x
    x = 34,857,729.38/6,734.91
  6. Step 6: Final answer
    x = 5,175.68

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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.