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Finding the Fourth Proportional to 8,769.96, 13,135.10 and 6,149.09

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Solution

The fourth proportional to 8,769.96, 13,135.10 and 6,149.09 is: 9,209.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,769.96 : 13,135.10 = 6,149.09 : x
  2. Step 2: Convert to fraction form
    8,769.96/13,135.10 = 6,149.09/x
  3. Step 3: Cross multiply
    8,769.96x = 13,135.10 × 6,149.09
  4. Step 4: Simplify right side
    8,769.96x = 80,768,914.15
  5. Step 5: Solve for x
    x = 80,768,914.15/8,769.96
  6. Step 6: Final answer
    x = 9,209.72

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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.