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Finding the Fourth Proportional to 6,930.40, 10,394.07 and 1,998.97

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Solution

The fourth proportional to 6,930.40, 10,394.07 and 1,998.97 is: 2,998.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.40 : 10,394.07 = 1,998.97 : x
  2. Step 2: Convert to fraction form
    6,930.40/10,394.07 = 1,998.97/x
  3. Step 3: Cross multiply
    6,930.40x = 10,394.07 × 1,998.97
  4. Step 4: Simplify right side
    6,930.40x = 20,777,434.11
  5. Step 5: Solve for x
    x = 20,777,434.11/6,930.40
  6. Step 6: Final answer
    x = 2,998.01

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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.