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Finding the Fourth Proportional to 6,847.08, 9,449.16 and 4,194.42

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Solution

The fourth proportional to 6,847.08, 9,449.16 and 4,194.42 is: 5,788.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.08 : 9,449.16 = 4,194.42 : x
  2. Step 2: Convert to fraction form
    6,847.08/9,449.16 = 4,194.42/x
  3. Step 3: Cross multiply
    6,847.08x = 9,449.16 × 4,194.42
  4. Step 4: Simplify right side
    6,847.08x = 39,633,745.69
  5. Step 5: Solve for x
    x = 39,633,745.69/6,847.08
  6. Step 6: Final answer
    x = 5,788.42

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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.