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Finding the Fourth Proportional to 6,930.33, 10,394.24 and 1,998.76

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Solution

The fourth proportional to 6,930.33, 10,394.24 and 1,998.76 is: 2,997.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.33 : 10,394.24 = 1,998.76 : x
  2. Step 2: Convert to fraction form
    6,930.33/10,394.24 = 1,998.76/x
  3. Step 3: Cross multiply
    6,930.33x = 10,394.24 × 1,998.76
  4. Step 4: Simplify right side
    6,930.33x = 20,775,570.15
  5. Step 5: Solve for x
    x = 20,775,570.15/6,930.33
  6. Step 6: Final answer
    x = 2,997.78

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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.