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Finding the Fourth Proportional to 6,930.26, 10,394.16 and 1,998.70

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Solution

The fourth proportional to 6,930.26, 10,394.16 and 1,998.70 is: 2,997.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.26 : 10,394.16 = 1,998.70 : x
  2. Step 2: Convert to fraction form
    6,930.26/10,394.16 = 1,998.70/x
  3. Step 3: Cross multiply
    6,930.26x = 10,394.16 × 1,998.70
  4. Step 4: Simplify right side
    6,930.26x = 20,774,807.59
  5. Step 5: Solve for x
    x = 20,774,807.59/6,930.26
  6. Step 6: Final answer
    x = 2,997.70

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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.