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Finding the Fourth Proportional to 8,596.22, 11,863.22 and 5,238.50

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Solution

The fourth proportional to 8,596.22, 11,863.22 and 5,238.50 is: 7,229.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.22 : 11,863.22 = 5,238.50 : x
  2. Step 2: Convert to fraction form
    8,596.22/11,863.22 = 5,238.50/x
  3. Step 3: Cross multiply
    8,596.22x = 11,863.22 × 5,238.50
  4. Step 4: Simplify right side
    8,596.22x = 62,145,481.44
  5. Step 5: Solve for x
    x = 62,145,481.44/8,596.22
  6. Step 6: Final answer
    x = 7,229.39

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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.