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Finding the Fourth Proportional to 6,730.88, 9,289.20 and 3,747.38

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Solution

The fourth proportional to 6,730.88, 9,289.20 and 3,747.38 is: 5,171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.88 : 9,289.20 = 3,747.38 : x
  2. Step 2: Convert to fraction form
    6,730.88/9,289.20 = 3,747.38/x
  3. Step 3: Cross multiply
    6,730.88x = 9,289.20 × 3,747.38
  4. Step 4: Simplify right side
    6,730.88x = 34,810,162.30
  5. Step 5: Solve for x
    x = 34,810,162.30/6,730.88
  6. Step 6: Final answer
    x = 5,171.71

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1.5x scale

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.