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Finding the Fourth Proportional to 17,897.82, 26,847 and 6,211.42

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Solution

The fourth proportional to 17,897.82, 26,847 and 6,211.42 is: 9,317.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,897.82 : 26,847 = 6,211.42 : x
  2. Step 2: Convert to fraction form
    17,897.82/26,847 = 6,211.42/x
  3. Step 3: Cross multiply
    17,897.82x = 26,847 × 6,211.42
  4. Step 4: Simplify right side
    17,897.82x = 166,757,992.74
  5. Step 5: Solve for x
    x = 166,757,992.74/17,897.82
  6. Step 6: Final answer
    x = 9,317.22

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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.