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Finding the Fourth Proportional to 6,932, 10,398.08 and 2,001.68

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Solution

The fourth proportional to 6,932, 10,398.08 and 2,001.68 is: 3,002.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932 : 10,398.08 = 2,001.68 : x
  2. Step 2: Convert to fraction form
    6,932/10,398.08 = 2,001.68/x
  3. Step 3: Cross multiply
    6,932x = 10,398.08 × 2,001.68
  4. Step 4: Simplify right side
    6,932x = 20,813,628.77
  5. Step 5: Solve for x
    x = 20,813,628.77/6,932
  6. Step 6: Final answer
    x = 3,002.54

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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.