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Finding the Fourth Proportional to 6,652.71, 9,928.49 and 5,914.61

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Solution

The fourth proportional to 6,652.71, 9,928.49 and 5,914.61 is: 8,826.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.71 : 9,928.49 = 5,914.61 : x
  2. Step 2: Convert to fraction form
    6,652.71/9,928.49 = 5,914.61/x
  3. Step 3: Cross multiply
    6,652.71x = 9,928.49 × 5,914.61
  4. Step 4: Simplify right side
    6,652.71x = 58,723,067.02
  5. Step 5: Solve for x
    x = 58,723,067.02/6,652.71
  6. Step 6: Final answer
    x = 8,826.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.