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Finding the Fourth Proportional to 6,850.44, 9,453.78 and 4,199.31

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Solution

The fourth proportional to 6,850.44, 9,453.78 and 4,199.31 is: 5,795.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.44 : 9,453.78 = 4,199.31 : x
  2. Step 2: Convert to fraction form
    6,850.44/9,453.78 = 4,199.31/x
  3. Step 3: Cross multiply
    6,850.44x = 9,453.78 × 4,199.31
  4. Step 4: Simplify right side
    6,850.44x = 39,699,352.89
  5. Step 5: Solve for x
    x = 39,699,352.89/6,850.44
  6. Step 6: Final answer
    x = 5,795.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.