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Finding the Fourth Proportional to 6,554, 9,827.66 and 2,169.88

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Solution

The fourth proportional to 6,554, 9,827.66 and 2,169.88 is: 3,253.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554 : 9,827.66 = 2,169.88 : x
  2. Step 2: Convert to fraction form
    6,554/9,827.66 = 2,169.88/x
  3. Step 3: Cross multiply
    6,554x = 9,827.66 × 2,169.88
  4. Step 4: Simplify right side
    6,554x = 21,324,842.88
  5. Step 5: Solve for x
    x = 21,324,842.88/6,554
  6. Step 6: Final answer
    x = 3,253.71

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