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Finding the Fourth Proportional to 6,367.82, 9,542.48 and 4,522.54

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Solution

The fourth proportional to 6,367.82, 9,542.48 and 4,522.54 is: 6,777.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.82 : 9,542.48 = 4,522.54 : x
  2. Step 2: Convert to fraction form
    6,367.82/9,542.48 = 4,522.54/x
  3. Step 3: Cross multiply
    6,367.82x = 9,542.48 × 4,522.54
  4. Step 4: Simplify right side
    6,367.82x = 43,156,247.50
  5. Step 5: Solve for x
    x = 43,156,247.50/6,367.82
  6. Step 6: Final answer
    x = 6,777.24

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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.