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Finding the Fourth Proportional to 6,550.57, 9,039.72 and 3,566.38

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Solution

The fourth proportional to 6,550.57, 9,039.72 and 3,566.38 is: 4,921.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.57 : 9,039.72 = 3,566.38 : x
  2. Step 2: Convert to fraction form
    6,550.57/9,039.72 = 3,566.38/x
  3. Step 3: Cross multiply
    6,550.57x = 9,039.72 × 3,566.38
  4. Step 4: Simplify right side
    6,550.57x = 32,239,076.61
  5. Step 5: Solve for x
    x = 32,239,076.61/6,550.57
  6. Step 6: Final answer
    x = 4,921.57

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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.