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Finding the Fourth Proportional to 11,074, 16,611 and 2,866

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Solution

The fourth proportional to 11,074, 16,611 and 2,866 is: 4,299

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,074 : 16,611 = 2,866 : x
  2. Step 2: Convert to fraction form
    11,074/16,611 = 2,866/x
  3. Step 3: Cross multiply
    11,074x = 16,611 × 2,866
  4. Step 4: Simplify right side
    11,074x = 47,607,126
  5. Step 5: Solve for x
    x = 47,607,126/11,074
  6. Step 6: Final answer
    x = 4,299

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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.