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Finding the Fourth Proportional to 6,514, 9,771 and 3,778

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Solution

The fourth proportional to 6,514, 9,771 and 3,778 is: 5,667

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514 : 9,771 = 3,778 : x
  2. Step 2: Convert to fraction form
    6,514/9,771 = 3,778/x
  3. Step 3: Cross multiply
    6,514x = 9,771 × 3,778
  4. Step 4: Simplify right side
    6,514x = 36,914,838
  5. Step 5: Solve for x
    x = 36,914,838/6,514
  6. Step 6: Final answer
    x = 5,667

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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.