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Finding the Fourth Proportional to 5,234.14, 7,850.40 and 4,944.97

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Solution

The fourth proportional to 5,234.14, 7,850.40 and 4,944.97 is: 7,416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.14 : 7,850.40 = 4,944.97 : x
  2. Step 2: Convert to fraction form
    5,234.14/7,850.40 = 4,944.97/x
  3. Step 3: Cross multiply
    5,234.14x = 7,850.40 × 4,944.97
  4. Step 4: Simplify right side
    5,234.14x = 38,819,992.49
  5. Step 5: Solve for x
    x = 38,819,992.49/5,234.14
  6. Step 6: Final answer
    x = 7,416.69

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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.