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Finding the Fourth Proportional to 8,771.76, 13,157.68 and 2,197.92

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Solution

The fourth proportional to 8,771.76, 13,157.68 and 2,197.92 is: 3,296.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.76 : 13,157.68 = 2,197.92 : x
  2. Step 2: Convert to fraction form
    8,771.76/13,157.68 = 2,197.92/x
  3. Step 3: Cross multiply
    8,771.76x = 13,157.68 × 2,197.92
  4. Step 4: Simplify right side
    8,771.76x = 28,919,528.03
  5. Step 5: Solve for x
    x = 28,919,528.03/8,771.76
  6. Step 6: Final answer
    x = 3,296.89

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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.