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Finding the Fourth Proportional to 7,234.47, 9,984.11 and 4,249.22

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Solution

The fourth proportional to 7,234.47, 9,984.11 and 4,249.22 is: 5,864.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.47 : 9,984.11 = 4,249.22 : x
  2. Step 2: Convert to fraction form
    7,234.47/9,984.11 = 4,249.22/x
  3. Step 3: Cross multiply
    7,234.47x = 9,984.11 × 4,249.22
  4. Step 4: Simplify right side
    7,234.47x = 42,424,608.73
  5. Step 5: Solve for x
    x = 42,424,608.73/7,234.47
  6. Step 6: Final answer
    x = 5,864.23

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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.