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Finding the Fourth Proportional to 6,183.50, 9,276.69 and 2,079.50

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Solution

The fourth proportional to 6,183.50, 9,276.69 and 2,079.50 is: 3,119.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.50 : 9,276.69 = 2,079.50 : x
  2. Step 2: Convert to fraction form
    6,183.50/9,276.69 = 2,079.50/x
  3. Step 3: Cross multiply
    6,183.50x = 9,276.69 × 2,079.50
  4. Step 4: Simplify right side
    6,183.50x = 19,290,876.86
  5. Step 5: Solve for x
    x = 19,290,876.86/6,183.50
  6. Step 6: Final answer
    x = 3,119.73

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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.