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Finding the Fourth Proportional to 6,694.86, 10,038.33 and 2,744.94

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Solution

The fourth proportional to 6,694.86, 10,038.33 and 2,744.94 is: 4,115.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.86 : 10,038.33 = 2,744.94 : x
  2. Step 2: Convert to fraction form
    6,694.86/10,038.33 = 2,744.94/x
  3. Step 3: Cross multiply
    6,694.86x = 10,038.33 × 2,744.94
  4. Step 4: Simplify right side
    6,694.86x = 27,554,613.55
  5. Step 5: Solve for x
    x = 27,554,613.55/6,694.86
  6. Step 6: Final answer
    x = 4,115.79

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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.