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Finding the Fourth Proportional to 7,662.12, 11,496.60 and 3,446.22

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Solution

The fourth proportional to 7,662.12, 11,496.60 and 3,446.22 is: 5,170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.12 : 11,496.60 = 3,446.22 : x
  2. Step 2: Convert to fraction form
    7,662.12/11,496.60 = 3,446.22/x
  3. Step 3: Cross multiply
    7,662.12x = 11,496.60 × 3,446.22
  4. Step 4: Simplify right side
    7,662.12x = 39,619,812.85
  5. Step 5: Solve for x
    x = 39,619,812.85/7,662.12
  6. Step 6: Final answer
    x = 5,170.87

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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.