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Finding the Fourth Proportional to 6,998.28, 9,671.49 and 5,737.38

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Solution

The fourth proportional to 6,998.28, 9,671.49 and 5,737.38 is: 7,928.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.28 : 9,671.49 = 5,737.38 : x
  2. Step 2: Convert to fraction form
    6,998.28/9,671.49 = 5,737.38/x
  3. Step 3: Cross multiply
    6,998.28x = 9,671.49 × 5,737.38
  4. Step 4: Simplify right side
    6,998.28x = 55,489,013.30
  5. Step 5: Solve for x
    x = 55,489,013.30/6,998.28
  6. Step 6: Final answer
    x = 7,928.95

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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.