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Finding the Fourth Proportional to 5,198.70, 7,287.90 and 5,198.70

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Solution

The fourth proportional to 5,198.70, 7,287.90 and 5,198.70 is: 7,287.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.70 : 7,287.90 = 5,198.70 : x
  2. Step 2: Convert to fraction form
    5,198.70/7,287.90 = 5,198.70/x
  3. Step 3: Cross multiply
    5,198.70x = 7,287.90 × 5,198.70
  4. Step 4: Simplify right side
    5,198.70x = 37,887,605.73
  5. Step 5: Solve for x
    x = 37,887,605.73/5,198.70
  6. Step 6: Final answer
    x = 7,287.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.