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Finding the Fourth Proportional to 6,616, 9,927.24 and 2,723.68

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Solution

The fourth proportional to 6,616, 9,927.24 and 2,723.68 is: 4,086.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616 : 9,927.24 = 2,723.68 : x
  2. Step 2: Convert to fraction form
    6,616/9,927.24 = 2,723.68/x
  3. Step 3: Cross multiply
    6,616x = 9,927.24 × 2,723.68
  4. Step 4: Simplify right side
    6,616x = 27,038,625.04
  5. Step 5: Solve for x
    x = 27,038,625.04/6,616
  6. Step 6: Final answer
    x = 4,086.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.