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Finding the Fourth Proportional to 6,123.10, 9,183.38 and 1,739.38

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Solution

The fourth proportional to 6,123.10, 9,183.38 and 1,739.38 is: 2,608.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.10 : 9,183.38 = 1,739.38 : x
  2. Step 2: Convert to fraction form
    6,123.10/9,183.38 = 1,739.38/x
  3. Step 3: Cross multiply
    6,123.10x = 9,183.38 × 1,739.38
  4. Step 4: Simplify right side
    6,123.10x = 15,973,387.50
  5. Step 5: Solve for x
    x = 15,973,387.50/6,123.10
  6. Step 6: Final answer
    x = 2,608.71

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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.