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Finding the Fourth Proportional to 12,286, 16,954.82 and 6,697

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Solution

The fourth proportional to 12,286, 16,954.82 and 6,697 is: 9,241.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286 : 16,954.82 = 6,697 : x
  2. Step 2: Convert to fraction form
    12,286/16,954.82 = 6,697/x
  3. Step 3: Cross multiply
    12,286x = 16,954.82 × 6,697
  4. Step 4: Simplify right side
    12,286x = 113,546,429.54
  5. Step 5: Solve for x
    x = 113,546,429.54/12,286
  6. Step 6: Final answer
    x = 9,241.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.