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Finding the Fourth Proportional to 11,697, 16,141.86 and 6,729

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Solution

The fourth proportional to 11,697, 16,141.86 and 6,729 is: 9,286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697 : 16,141.86 = 6,729 : x
  2. Step 2: Convert to fraction form
    11,697/16,141.86 = 6,729/x
  3. Step 3: Cross multiply
    11,697x = 16,141.86 × 6,729
  4. Step 4: Simplify right side
    11,697x = 108,618,575.94
  5. Step 5: Solve for x
    x = 108,618,575.94/11,697
  6. Step 6: Final answer
    x = 9,286.02

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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.