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Finding the Fourth Proportional to 8,771.82, 13,157.37 and 2,197.86

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Solution

The fourth proportional to 8,771.82, 13,157.37 and 2,197.86 is: 3,296.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.82 : 13,157.37 = 2,197.86 : x
  2. Step 2: Convert to fraction form
    8,771.82/13,157.37 = 2,197.86/x
  3. Step 3: Cross multiply
    8,771.82x = 13,157.37 × 2,197.86
  4. Step 4: Simplify right side
    8,771.82x = 28,918,057.23
  5. Step 5: Solve for x
    x = 28,918,057.23/8,771.82
  6. Step 6: Final answer
    x = 3,296.70

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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.