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Finding the Fourth Proportional to 11,676.60, 17,471.16 and 6,486.12

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Solution

The fourth proportional to 11,676.60, 17,471.16 and 6,486.12 is: 9,704.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.60 : 17,471.16 = 6,486.12 : x
  2. Step 2: Convert to fraction form
    11,676.60/17,471.16 = 6,486.12/x
  3. Step 3: Cross multiply
    11,676.60x = 17,471.16 × 6,486.12
  4. Step 4: Simplify right side
    11,676.60x = 113,320,040.30
  5. Step 5: Solve for x
    x = 113,320,040.30/11,676.60
  6. Step 6: Final answer
    x = 9,704.88

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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.