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Finding the Fourth Proportional to 4,141.48, 6,212.22 and 2,197.48

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Solution

The fourth proportional to 4,141.48, 6,212.22 and 2,197.48 is: 3,296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.48 : 6,212.22 = 2,197.48 : x
  2. Step 2: Convert to fraction form
    4,141.48/6,212.22 = 2,197.48/x
  3. Step 3: Cross multiply
    4,141.48x = 6,212.22 × 2,197.48
  4. Step 4: Simplify right side
    4,141.48x = 13,651,229.21
  5. Step 5: Solve for x
    x = 13,651,229.21/4,141.48
  6. Step 6: Final answer
    x = 3,296.22

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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.