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Finding the Fourth Proportional to 6,861.03, 10,287.67 and 2,180.17

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Solution

The fourth proportional to 6,861.03, 10,287.67 and 2,180.17 is: 3,269.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.03 : 10,287.67 = 2,180.17 : x
  2. Step 2: Convert to fraction form
    6,861.03/10,287.67 = 2,180.17/x
  3. Step 3: Cross multiply
    6,861.03x = 10,287.67 × 2,180.17
  4. Step 4: Simplify right side
    6,861.03x = 22,428,869.50
  5. Step 5: Solve for x
    x = 22,428,869.50/6,861.03
  6. Step 6: Final answer
    x = 3,269.02

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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.