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Finding the Fourth Proportional to 6,566.28, 9,061.11 and 3,771.78

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Solution

The fourth proportional to 6,566.28, 9,061.11 and 3,771.78 is: 5,204.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.28 : 9,061.11 = 3,771.78 : x
  2. Step 2: Convert to fraction form
    6,566.28/9,061.11 = 3,771.78/x
  3. Step 3: Cross multiply
    6,566.28x = 9,061.11 × 3,771.78
  4. Step 4: Simplify right side
    6,566.28x = 34,176,513.48
  5. Step 5: Solve for x
    x = 34,176,513.48/6,566.28
  6. Step 6: Final answer
    x = 5,204.85

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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.