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Finding the Fourth Proportional to 12,834, 19,251 and 4,626

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Solution

The fourth proportional to 12,834, 19,251 and 4,626 is: 6,939

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834 : 19,251 = 4,626 : x
  2. Step 2: Convert to fraction form
    12,834/19,251 = 4,626/x
  3. Step 3: Cross multiply
    12,834x = 19,251 × 4,626
  4. Step 4: Simplify right side
    12,834x = 89,055,126
  5. Step 5: Solve for x
    x = 89,055,126/12,834
  6. Step 6: Final answer
    x = 6,939

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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.