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Finding the Fourth Proportional to 6,732.09, 9,289.89 and 3,747.78

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Solution

The fourth proportional to 6,732.09, 9,289.89 and 3,747.78 is: 5,171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.09 : 9,289.89 = 3,747.78 : x
  2. Step 2: Convert to fraction form
    6,732.09/9,289.89 = 3,747.78/x
  3. Step 3: Cross multiply
    6,732.09x = 9,289.89 × 3,747.78
  4. Step 4: Simplify right side
    6,732.09x = 34,816,463.94
  5. Step 5: Solve for x
    x = 34,816,463.94/6,732.09
  6. Step 6: Final answer
    x = 5,171.72

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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.