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Finding the Fourth Proportional to 8,198.42, 11,313 and 4,794.93

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Solution

The fourth proportional to 8,198.42, 11,313 and 4,794.93 is: 6,616.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.42 : 11,313 = 4,794.93 : x
  2. Step 2: Convert to fraction form
    8,198.42/11,313 = 4,794.93/x
  3. Step 3: Cross multiply
    8,198.42x = 11,313 × 4,794.93
  4. Step 4: Simplify right side
    8,198.42x = 54,245,043.09
  5. Step 5: Solve for x
    x = 54,245,043.09/8,198.42
  6. Step 6: Final answer
    x = 6,616.53

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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.