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Finding the Fourth Proportional to 11,697.96, 17,546.56 and 2,932.96

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Solution

The fourth proportional to 11,697.96, 17,546.56 and 2,932.96 is: 4,399.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.96 : 17,546.56 = 2,932.96 : x
  2. Step 2: Convert to fraction form
    11,697.96/17,546.56 = 2,932.96/x
  3. Step 3: Cross multiply
    11,697.96x = 17,546.56 × 2,932.96
  4. Step 4: Simplify right side
    11,697.96x = 51,463,358.62
  5. Step 5: Solve for x
    x = 51,463,358.62/11,697.96
  6. Step 6: Final answer
    x = 4,399.34

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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.