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Finding the Fourth Proportional to 5,198.97, 7,788.13 and 4,773.72

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Solution

The fourth proportional to 5,198.97, 7,788.13 and 4,773.72 is: 7,151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.97 : 7,788.13 = 4,773.72 : x
  2. Step 2: Convert to fraction form
    5,198.97/7,788.13 = 4,773.72/x
  3. Step 3: Cross multiply
    5,198.97x = 7,788.13 × 4,773.72
  4. Step 4: Simplify right side
    5,198.97x = 37,178,351.94
  5. Step 5: Solve for x
    x = 37,178,351.94/5,198.97
  6. Step 6: Final answer
    x = 7,151.10

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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.