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Finding the Fourth Proportional to 6,864, 10,293.98 and 2,183.82

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Solution

The fourth proportional to 6,864, 10,293.98 and 2,183.82 is: 3,275.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864 : 10,293.98 = 2,183.82 : x
  2. Step 2: Convert to fraction form
    6,864/10,293.98 = 2,183.82/x
  3. Step 3: Cross multiply
    6,864x = 10,293.98 × 2,183.82
  4. Step 4: Simplify right side
    6,864x = 22,480,188.48
  5. Step 5: Solve for x
    x = 22,480,188.48/6,864
  6. Step 6: Final answer
    x = 3,275.09

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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.