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Finding the Fourth Proportional to 6,998.18, 10,500 and 2,614.61

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Solution

The fourth proportional to 6,998.18, 10,500 and 2,614.61 is: 3,922.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.18 : 10,500 = 2,614.61 : x
  2. Step 2: Convert to fraction form
    6,998.18/10,500 = 2,614.61/x
  3. Step 3: Cross multiply
    6,998.18x = 10,500 × 2,614.61
  4. Step 4: Simplify right side
    6,998.18x = 27,453,431.25
  5. Step 5: Solve for x
    x = 27,453,431.25/6,998.18
  6. Step 6: Final answer
    x = 3,922.94

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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.