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Finding the Fourth Proportional to 6,998.28, 10,414.85 and 6,765

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Solution

The fourth proportional to 6,998.28, 10,414.85 and 6,765 is: 10,067.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.28 : 10,414.85 = 6,765 : x
  2. Step 2: Convert to fraction form
    6,998.28/10,414.85 = 6,765/x
  3. Step 3: Cross multiply
    6,998.28x = 10,414.85 × 6,765
  4. Step 4: Simplify right side
    6,998.28x = 70,456,460.25
  5. Step 5: Solve for x
    x = 70,456,460.25/6,998.28
  6. Step 6: Final answer
    x = 10,067.68

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