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Finding the Fourth Proportional to 10,942, 15,100 and 5,974

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Solution

The fourth proportional to 10,942, 15,100 and 5,974 is: 8,244.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942 : 15,100 = 5,974 : x
  2. Step 2: Convert to fraction form
    10,942/15,100 = 5,974/x
  3. Step 3: Cross multiply
    10,942x = 15,100 × 5,974
  4. Step 4: Simplify right side
    10,942x = 90,207,400
  5. Step 5: Solve for x
    x = 90,207,400/10,942
  6. Step 6: Final answer
    x = 8,244.14

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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.