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Finding the Fourth Proportional to 9,676, 14,514 and 4,204

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Solution

The fourth proportional to 9,676, 14,514 and 4,204 is: 6,306

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676 : 14,514 = 4,204 : x
  2. Step 2: Convert to fraction form
    9,676/14,514 = 4,204/x
  3. Step 3: Cross multiply
    9,676x = 14,514 × 4,204
  4. Step 4: Simplify right side
    9,676x = 61,016,856
  5. Step 5: Solve for x
    x = 61,016,856/9,676
  6. Step 6: Final answer
    x = 6,306

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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.