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Finding the Fourth Proportional to 8,538.57, 11,794.86 and 7,226.37

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Solution

The fourth proportional to 8,538.57, 11,794.86 and 7,226.37 is: 9,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.57 : 11,794.86 = 7,226.37 : x
  2. Step 2: Convert to fraction form
    8,538.57/11,794.86 = 7,226.37/x
  3. Step 3: Cross multiply
    8,538.57x = 11,794.86 × 7,226.37
  4. Step 4: Simplify right side
    8,538.57x = 85,234,022.46
  5. Step 5: Solve for x
    x = 85,234,022.46/8,538.57
  6. Step 6: Final answer
    x = 9,982.24

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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.