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Finding the Fourth Proportional to 11,722, 17,583 and 3,514

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Solution

The fourth proportional to 11,722, 17,583 and 3,514 is: 5,271

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722 : 17,583 = 3,514 : x
  2. Step 2: Convert to fraction form
    11,722/17,583 = 3,514/x
  3. Step 3: Cross multiply
    11,722x = 17,583 × 3,514
  4. Step 4: Simplify right side
    11,722x = 61,786,662
  5. Step 5: Solve for x
    x = 61,786,662/11,722
  6. Step 6: Final answer
    x = 5,271

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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.