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Finding the Fourth Proportional to 12,350, 17,043 and 6,761

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Solution

The fourth proportional to 12,350, 17,043 and 6,761 is: 9,330.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,350 : 17,043 = 6,761 : x
  2. Step 2: Convert to fraction form
    12,350/17,043 = 6,761/x
  3. Step 3: Cross multiply
    12,350x = 17,043 × 6,761
  4. Step 4: Simplify right side
    12,350x = 115,227,723
  5. Step 5: Solve for x
    x = 115,227,723/12,350
  6. Step 6: Final answer
    x = 9,330.18

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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.