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Finding the Fourth Proportional to 11,754.24, 16,222.32 and 6,786.24

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Solution

The fourth proportional to 11,754.24, 16,222.32 and 6,786.24 is: 9,365.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.24 : 16,222.32 = 6,786.24 : x
  2. Step 2: Convert to fraction form
    11,754.24/16,222.32 = 6,786.24/x
  3. Step 3: Cross multiply
    11,754.24x = 16,222.32 × 6,786.24
  4. Step 4: Simplify right side
    11,754.24x = 110,088,556.88
  5. Step 5: Solve for x
    x = 110,088,556.88/11,754.24
  6. Step 6: Final answer
    x = 9,365.86

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1.5x scale

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.