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Finding the Fourth Proportional to 6,867, 10,299.98 and 2,186.82

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Solution

The fourth proportional to 6,867, 10,299.98 and 2,186.82 is: 3,280.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,867 : 10,299.98 = 2,186.82 : x
  2. Step 2: Convert to fraction form
    6,867/10,299.98 = 2,186.82/x
  3. Step 3: Cross multiply
    6,867x = 10,299.98 × 2,186.82
  4. Step 4: Simplify right side
    6,867x = 22,524,207.73
  5. Step 5: Solve for x
    x = 22,524,207.73/6,867
  6. Step 6: Final answer
    x = 3,280.07

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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.