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Finding the Fourth Proportional to 11,593.15, 17,369.86 and 7,786.66

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Solution

The fourth proportional to 11,593.15, 17,369.86 and 7,786.66 is: 11,666.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.15 : 17,369.86 = 7,786.66 : x
  2. Step 2: Convert to fraction form
    11,593.15/17,369.86 = 7,786.66/x
  3. Step 3: Cross multiply
    11,593.15x = 17,369.86 × 7,786.66
  4. Step 4: Simplify right side
    11,593.15x = 135,253,194.07
  5. Step 5: Solve for x
    x = 135,253,194.07/11,593.15
  6. Step 6: Final answer
    x = 11,666.65

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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.