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Finding the Fourth Proportional to 6,122, 9,183 and 2,426.24

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Solution

The fourth proportional to 6,122, 9,183 and 2,426.24 is: 3,639.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122 : 9,183 = 2,426.24 : x
  2. Step 2: Convert to fraction form
    6,122/9,183 = 2,426.24/x
  3. Step 3: Cross multiply
    6,122x = 9,183 × 2,426.24
  4. Step 4: Simplify right side
    6,122x = 22,280,161.92
  5. Step 5: Solve for x
    x = 22,280,161.92/6,122
  6. Step 6: Final answer
    x = 3,639.36

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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.