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Finding the Fourth Proportional to 10,834, 16,251 and 2,626

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Solution

The fourth proportional to 10,834, 16,251 and 2,626 is: 3,939

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834 : 16,251 = 2,626 : x
  2. Step 2: Convert to fraction form
    10,834/16,251 = 2,626/x
  3. Step 3: Cross multiply
    10,834x = 16,251 × 2,626
  4. Step 4: Simplify right side
    10,834x = 42,675,126
  5. Step 5: Solve for x
    x = 42,675,126/10,834
  6. Step 6: Final answer
    x = 3,939

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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.