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Finding the Fourth Proportional to 6,831, 10,248.93 and 3,370.68

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Solution

The fourth proportional to 6,831, 10,248.93 and 3,370.68 is: 5,057.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831 : 10,248.93 = 3,370.68 : x
  2. Step 2: Convert to fraction form
    6,831/10,248.93 = 3,370.68/x
  3. Step 3: Cross multiply
    6,831x = 10,248.93 × 3,370.68
  4. Step 4: Simplify right side
    6,831x = 34,545,863.37
  5. Step 5: Solve for x
    x = 34,545,863.37/6,831
  6. Step 6: Final answer
    x = 5,057.22

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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.