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Finding the Fourth Proportional to 6,876, 10,314 and 3,798

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Solution

The fourth proportional to 6,876, 10,314 and 3,798 is: 5,697

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876 : 10,314 = 3,798 : x
  2. Step 2: Convert to fraction form
    6,876/10,314 = 3,798/x
  3. Step 3: Cross multiply
    6,876x = 10,314 × 3,798
  4. Step 4: Simplify right side
    6,876x = 39,172,572
  5. Step 5: Solve for x
    x = 39,172,572/6,876
  6. Step 6: Final answer
    x = 5,697

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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.