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Finding the Fourth Proportional to 5,198.41, 7,798.98 and 1,500.94

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Solution

The fourth proportional to 5,198.41, 7,798.98 and 1,500.94 is: 2,251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.41 : 7,798.98 = 1,500.94 : x
  2. Step 2: Convert to fraction form
    5,198.41/7,798.98 = 1,500.94/x
  3. Step 3: Cross multiply
    5,198.41x = 7,798.98 × 1,500.94
  4. Step 4: Simplify right side
    5,198.41x = 11,705,801.04
  5. Step 5: Solve for x
    x = 11,705,801.04/5,198.41
  6. Step 6: Final answer
    x = 2,251.80

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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.