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Finding the Fourth Proportional to 8,198.55, 11,313.99 and 4,661.97

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Solution

The fourth proportional to 8,198.55, 11,313.99 and 4,661.97 is: 6,433.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.55 : 11,313.99 = 4,661.97 : x
  2. Step 2: Convert to fraction form
    8,198.55/11,313.99 = 4,661.97/x
  3. Step 3: Cross multiply
    8,198.55x = 11,313.99 × 4,661.97
  4. Step 4: Simplify right side
    8,198.55x = 52,745,481.96
  5. Step 5: Solve for x
    x = 52,745,481.96/8,198.55
  6. Step 6: Final answer
    x = 6,433.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.