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Finding the Fourth Proportional to 22,536.15, 33,809.76 and 7,745.28

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Solution

The fourth proportional to 22,536.15, 33,809.76 and 7,745.28 is: 11,619.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,536.15 : 33,809.76 = 7,745.28 : x
  2. Step 2: Convert to fraction form
    22,536.15/33,809.76 = 7,745.28/x
  3. Step 3: Cross multiply
    22,536.15x = 33,809.76 × 7,745.28
  4. Step 4: Simplify right side
    22,536.15x = 261,866,057.93
  5. Step 5: Solve for x
    x = 261,866,057.93/22,536.15
  6. Step 6: Final answer
    x = 11,619.82

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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.