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Finding the Fourth Proportional to 13,676.55, 20,523.46 and 7,844.55

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Solution

The fourth proportional to 13,676.55, 20,523.46 and 7,844.55 is: 11,771.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.55 : 20,523.46 = 7,844.55 : x
  2. Step 2: Convert to fraction form
    13,676.55/20,523.46 = 7,844.55/x
  3. Step 3: Cross multiply
    13,676.55x = 20,523.46 × 7,844.55
  4. Step 4: Simplify right side
    13,676.55x = 160,997,308.14
  5. Step 5: Solve for x
    x = 160,997,308.14/13,676.55
  6. Step 6: Final answer
    x = 11,771.78

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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.