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Finding the Fourth Proportional to 3,662.16, 5,493.24 and 1,197.24

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Solution

The fourth proportional to 3,662.16, 5,493.24 and 1,197.24 is: 1,795.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.16 : 5,493.24 = 1,197.24 : x
  2. Step 2: Convert to fraction form
    3,662.16/5,493.24 = 1,197.24/x
  3. Step 3: Cross multiply
    3,662.16x = 5,493.24 × 1,197.24
  4. Step 4: Simplify right side
    3,662.16x = 6,576,726.66
  5. Step 5: Solve for x
    x = 6,576,726.66/3,662.16
  6. Step 6: Final answer
    x = 1,795.86

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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.