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Finding the Fourth Proportional to 6,732.92, 10,093.16 and 2,571.68

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Solution

The fourth proportional to 6,732.92, 10,093.16 and 2,571.68 is: 3,855.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.92 : 10,093.16 = 2,571.68 : x
  2. Step 2: Convert to fraction form
    6,732.92/10,093.16 = 2,571.68/x
  3. Step 3: Cross multiply
    6,732.92x = 10,093.16 × 2,571.68
  4. Step 4: Simplify right side
    6,732.92x = 25,956,377.71
  5. Step 5: Solve for x
    x = 25,956,377.71/6,732.92
  6. Step 6: Final answer
    x = 3,855.14

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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.