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Finding the Fourth Proportional to 7,190.24, 9,922.52 and 4,046.42

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Solution

The fourth proportional to 7,190.24, 9,922.52 and 4,046.42 is: 5,584.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.24 : 9,922.52 = 4,046.42 : x
  2. Step 2: Convert to fraction form
    7,190.24/9,922.52 = 4,046.42/x
  3. Step 3: Cross multiply
    7,190.24x = 9,922.52 × 4,046.42
  4. Step 4: Simplify right side
    7,190.24x = 40,150,695.54
  5. Step 5: Solve for x
    x = 40,150,695.54/7,190.24
  6. Step 6: Final answer
    x = 5,584.06

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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.