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Finding the Fourth Proportional to 11,791.85, 17,666.91 and 6,232.86

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Solution

The fourth proportional to 11,791.85, 17,666.91 and 6,232.86 is: 9,338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791.85 : 17,666.91 = 6,232.86 : x
  2. Step 2: Convert to fraction form
    11,791.85/17,666.91 = 6,232.86/x
  3. Step 3: Cross multiply
    11,791.85x = 17,666.91 × 6,232.86
  4. Step 4: Simplify right side
    11,791.85x = 110,115,376.66
  5. Step 5: Solve for x
    x = 110,115,376.66/11,791.85
  6. Step 6: Final answer
    x = 9,338.27

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1.5x scale

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.