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Finding the Fourth Proportional to 11,676.86, 17,469.27 and 9,024.21

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Solution

The fourth proportional to 11,676.86, 17,469.27 and 9,024.21 is: 13,500.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.86 : 17,469.27 = 9,024.21 : x
  2. Step 2: Convert to fraction form
    11,676.86/17,469.27 = 9,024.21/x
  3. Step 3: Cross multiply
    11,676.86x = 17,469.27 × 9,024.21
  4. Step 4: Simplify right side
    11,676.86x = 157,646,361.03
  5. Step 5: Solve for x
    x = 157,646,361.03/11,676.86
  6. Step 6: Final answer
    x = 13,500.75

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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.