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Finding the Fourth Proportional to 6,183.66, 9,275.50 and 1,801.22

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Solution

The fourth proportional to 6,183.66, 9,275.50 and 1,801.22 is: 2,701.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.66 : 9,275.50 = 1,801.22 : x
  2. Step 2: Convert to fraction form
    6,183.66/9,275.50 = 1,801.22/x
  3. Step 3: Cross multiply
    6,183.66x = 9,275.50 × 1,801.22
  4. Step 4: Simplify right side
    6,183.66x = 16,707,216.11
  5. Step 5: Solve for x
    x = 16,707,216.11/6,183.66
  6. Step 6: Final answer
    x = 2,701.83

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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.