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Finding the Fourth Proportional to 7,234.75, 9,984.02 and 3,922.75

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Solution

The fourth proportional to 7,234.75, 9,984.02 and 3,922.75 is: 5,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.75 : 9,984.02 = 3,922.75 : x
  2. Step 2: Convert to fraction form
    7,234.75/9,984.02 = 3,922.75/x
  3. Step 3: Cross multiply
    7,234.75x = 9,984.02 × 3,922.75
  4. Step 4: Simplify right side
    7,234.75x = 39,164,814.46
  5. Step 5: Solve for x
    x = 39,164,814.46/7,234.75
  6. Step 6: Final answer
    x = 5,413.43

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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.