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Finding the Fourth Proportional to 7,163.94, 9,884.49 and 5,487.24

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Solution

The fourth proportional to 7,163.94, 9,884.49 and 5,487.24 is: 7,571.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.94 : 9,884.49 = 5,487.24 : x
  2. Step 2: Convert to fraction form
    7,163.94/9,884.49 = 5,487.24/x
  3. Step 3: Cross multiply
    7,163.94x = 9,884.49 × 5,487.24
  4. Step 4: Simplify right side
    7,163.94x = 54,238,568.91
  5. Step 5: Solve for x
    x = 54,238,568.91/7,163.94
  6. Step 6: Final answer
    x = 7,571.05

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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.