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Finding the Fourth Proportional to 6,934, 10,394.82 and 2,550.40

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Solution

The fourth proportional to 6,934, 10,394.82 and 2,550.40 is: 3,823.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934 : 10,394.82 = 2,550.40 : x
  2. Step 2: Convert to fraction form
    6,934/10,394.82 = 2,550.40/x
  3. Step 3: Cross multiply
    6,934x = 10,394.82 × 2,550.40
  4. Step 4: Simplify right side
    6,934x = 26,510,948.93
  5. Step 5: Solve for x
    x = 26,510,948.93/6,934
  6. Step 6: Final answer
    x = 3,823.33

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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.