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Finding the Fourth Proportional to 6,849.75, 9,452.66 and 3,866.22

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Solution

The fourth proportional to 6,849.75, 9,452.66 and 3,866.22 is: 5,335.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.75 : 9,452.66 = 3,866.22 : x
  2. Step 2: Convert to fraction form
    6,849.75/9,452.66 = 3,866.22/x
  3. Step 3: Cross multiply
    6,849.75x = 9,452.66 × 3,866.22
  4. Step 4: Simplify right side
    6,849.75x = 36,546,063.15
  5. Step 5: Solve for x
    x = 36,546,063.15/6,849.75
  6. Step 6: Final answer
    x = 5,335.39

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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.