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Finding the Fourth Proportional to 6,932.66, 10,394.12 and 2,549.54

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Solution

The fourth proportional to 6,932.66, 10,394.12 and 2,549.54 is: 3,822.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.66 : 10,394.12 = 2,549.54 : x
  2. Step 2: Convert to fraction form
    6,932.66/10,394.12 = 2,549.54/x
  3. Step 3: Cross multiply
    6,932.66x = 10,394.12 × 2,549.54
  4. Step 4: Simplify right side
    6,932.66x = 26,500,257.06
  5. Step 5: Solve for x
    x = 26,500,257.06/6,932.66
  6. Step 6: Final answer
    x = 3,822.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.