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Finding the Fourth Proportional to 6,098.43, 9,162.24 and 3,911.43

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Solution

The fourth proportional to 6,098.43, 9,162.24 and 3,911.43 is: 5,876.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.43 : 9,162.24 = 3,911.43 : x
  2. Step 2: Convert to fraction form
    6,098.43/9,162.24 = 3,911.43/x
  3. Step 3: Cross multiply
    6,098.43x = 9,162.24 × 3,911.43
  4. Step 4: Simplify right side
    6,098.43x = 35,837,460.40
  5. Step 5: Solve for x
    x = 35,837,460.40/6,098.43
  6. Step 6: Final answer
    x = 5,876.51

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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.