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Finding the Fourth Proportional to 10,974, 16,461 and 2,766

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Solution

The fourth proportional to 10,974, 16,461 and 2,766 is: 4,149

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974 : 16,461 = 2,766 : x
  2. Step 2: Convert to fraction form
    10,974/16,461 = 2,766/x
  3. Step 3: Cross multiply
    10,974x = 16,461 × 2,766
  4. Step 4: Simplify right side
    10,974x = 45,531,126
  5. Step 5: Solve for x
    x = 45,531,126/10,974
  6. Step 6: Final answer
    x = 4,149

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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.