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Finding the Fourth Proportional to 29,764, 44,646 and 7,876

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Solution

The fourth proportional to 29,764, 44,646 and 7,876 is: 11,814

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,764 : 44,646 = 7,876 : x
  2. Step 2: Convert to fraction form
    29,764/44,646 = 7,876/x
  3. Step 3: Cross multiply
    29,764x = 44,646 × 7,876
  4. Step 4: Simplify right side
    29,764x = 351,631,896
  5. Step 5: Solve for x
    x = 351,631,896/29,764
  6. Step 6: Final answer
    x = 11,814

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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.