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Finding the Fourth Proportional to 7,462.10, 11,194.46 and 2,462.97

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Solution

The fourth proportional to 7,462.10, 11,194.46 and 2,462.97 is: 3,694.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.10 : 11,194.46 = 2,462.97 : x
  2. Step 2: Convert to fraction form
    7,462.10/11,194.46 = 2,462.97/x
  3. Step 3: Cross multiply
    7,462.10x = 11,194.46 × 2,462.97
  4. Step 4: Simplify right side
    7,462.10x = 27,571,606.83
  5. Step 5: Solve for x
    x = 27,571,606.83/7,462.10
  6. Step 6: Final answer
    x = 3,694.89

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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.