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Finding the Fourth Proportional to 11,162, 16,743 and 2,954

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Solution

The fourth proportional to 11,162, 16,743 and 2,954 is: 4,431

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,162 : 16,743 = 2,954 : x
  2. Step 2: Convert to fraction form
    11,162/16,743 = 2,954/x
  3. Step 3: Cross multiply
    11,162x = 16,743 × 2,954
  4. Step 4: Simplify right side
    11,162x = 49,458,822
  5. Step 5: Solve for x
    x = 49,458,822/11,162
  6. Step 6: Final answer
    x = 4,431

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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.