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Finding the Fourth Proportional to 7,794.39, 11,698.87 and 3,850.10

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Solution

The fourth proportional to 7,794.39, 11,698.87 and 3,850.10 is: 5,778.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.39 : 11,698.87 = 3,850.10 : x
  2. Step 2: Convert to fraction form
    7,794.39/11,698.87 = 3,850.10/x
  3. Step 3: Cross multiply
    7,794.39x = 11,698.87 × 3,850.10
  4. Step 4: Simplify right side
    7,794.39x = 45,041,845.98
  5. Step 5: Solve for x
    x = 45,041,845.98/7,794.39
  6. Step 6: Final answer
    x = 5,778.75

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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.