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Finding the Fourth Proportional to 11,967, 16,514.46 and 6,999

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Solution

The fourth proportional to 11,967, 16,514.46 and 6,999 is: 9,658.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967 : 16,514.46 = 6,999 : x
  2. Step 2: Convert to fraction form
    11,967/16,514.46 = 6,999/x
  3. Step 3: Cross multiply
    11,967x = 16,514.46 × 6,999
  4. Step 4: Simplify right side
    11,967x = 115,584,705.54
  5. Step 5: Solve for x
    x = 115,584,705.54/11,967
  6. Step 6: Final answer
    x = 9,658.62

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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.