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Finding the Fourth Proportional to 8,771.96, 13,162.50 and 8,301.56

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Solution

The fourth proportional to 8,771.96, 13,162.50 and 8,301.56 is: 12,456.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.96 : 13,162.50 = 8,301.56 : x
  2. Step 2: Convert to fraction form
    8,771.96/13,162.50 = 8,301.56/x
  3. Step 3: Cross multiply
    8,771.96x = 13,162.50 × 8,301.56
  4. Step 4: Simplify right side
    8,771.96x = 109,269,217.69
  5. Step 5: Solve for x
    x = 109,269,217.69/8,771.96
  6. Step 6: Final answer
    x = 12,456.64

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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.