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Finding the Fourth Proportional to 11,716.88, 17,553.26 and 5,786.83

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Solution

The fourth proportional to 11,716.88, 17,553.26 and 5,786.83 is: 8,669.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.88 : 17,553.26 = 5,786.83 : x
  2. Step 2: Convert to fraction form
    11,716.88/17,553.26 = 5,786.83/x
  3. Step 3: Cross multiply
    11,716.88x = 17,553.26 × 5,786.83
  4. Step 4: Simplify right side
    11,716.88x = 101,577,658.75
  5. Step 5: Solve for x
    x = 101,577,658.75/11,716.88
  6. Step 6: Final answer
    x = 8,669.34

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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.