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Finding the Fourth Proportional to 11,170, 16,755 and 2,962

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Solution

The fourth proportional to 11,170, 16,755 and 2,962 is: 4,443

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,170 : 16,755 = 2,962 : x
  2. Step 2: Convert to fraction form
    11,170/16,755 = 2,962/x
  3. Step 3: Cross multiply
    11,170x = 16,755 × 2,962
  4. Step 4: Simplify right side
    11,170x = 49,628,310
  5. Step 5: Solve for x
    x = 49,628,310/11,170
  6. Step 6: Final answer
    x = 4,443

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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.