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Finding the Fourth Proportional to 11,166, 16,749 and 2,958

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Solution

The fourth proportional to 11,166, 16,749 and 2,958 is: 4,437

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,166 : 16,749 = 2,958 : x
  2. Step 2: Convert to fraction form
    11,166/16,749 = 2,958/x
  3. Step 3: Cross multiply
    11,166x = 16,749 × 2,958
  4. Step 4: Simplify right side
    11,166x = 49,543,542
  5. Step 5: Solve for x
    x = 49,543,542/11,166
  6. Step 6: Final answer
    x = 4,437

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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.