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Finding the Fourth Proportional to 6,183.87, 9,277.34 and 1,801.37

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Solution

The fourth proportional to 6,183.87, 9,277.34 and 1,801.37 is: 2,702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.87 : 9,277.34 = 1,801.37 : x
  2. Step 2: Convert to fraction form
    6,183.87/9,277.34 = 1,801.37/x
  3. Step 3: Cross multiply
    6,183.87x = 9,277.34 × 1,801.37
  4. Step 4: Simplify right side
    6,183.87x = 16,711,866.56
  5. Step 5: Solve for x
    x = 16,711,866.56/6,183.87
  6. Step 6: Final answer
    x = 2,702.49

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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.