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Finding the Fourth Proportional to 6,183.66, 8,537.38 and 4,062.94

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Solution

The fourth proportional to 6,183.66, 8,537.38 and 4,062.94 is: 5,609.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.66 : 8,537.38 = 4,062.94 : x
  2. Step 2: Convert to fraction form
    6,183.66/8,537.38 = 4,062.94/x
  3. Step 3: Cross multiply
    6,183.66x = 8,537.38 × 4,062.94
  4. Step 4: Simplify right side
    6,183.66x = 34,686,862.70
  5. Step 5: Solve for x
    x = 34,686,862.70/6,183.66
  6. Step 6: Final answer
    x = 5,609.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.