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Finding the Fourth Proportional to 11,786.56, 17,659.02 and 6,227.62

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Solution

The fourth proportional to 11,786.56, 17,659.02 and 6,227.62 is: 9,330.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.56 : 17,659.02 = 6,227.62 : x
  2. Step 2: Convert to fraction form
    11,786.56/17,659.02 = 6,227.62/x
  3. Step 3: Cross multiply
    11,786.56x = 17,659.02 × 6,227.62
  4. Step 4: Simplify right side
    11,786.56x = 109,973,666.13
  5. Step 5: Solve for x
    x = 109,973,666.13/11,786.56
  6. Step 6: Final answer
    x = 9,330.43

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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.