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Finding the Fourth Proportional to 6,183.48, 9,275.78 and 2,023.50

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Solution

The fourth proportional to 6,183.48, 9,275.78 and 2,023.50 is: 3,035.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.48 : 9,275.78 = 2,023.50 : x
  2. Step 2: Convert to fraction form
    6,183.48/9,275.78 = 2,023.50/x
  3. Step 3: Cross multiply
    6,183.48x = 9,275.78 × 2,023.50
  4. Step 4: Simplify right side
    6,183.48x = 18,769,540.83
  5. Step 5: Solve for x
    x = 18,769,540.83/6,183.48
  6. Step 6: Final answer
    x = 3,035.43

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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.