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Finding the Fourth Proportional to 7,241.28, 9,993.42 and 4,097.94

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Solution

The fourth proportional to 7,241.28, 9,993.42 and 4,097.94 is: 5,655.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.28 : 9,993.42 = 4,097.94 : x
  2. Step 2: Convert to fraction form
    7,241.28/9,993.42 = 4,097.94/x
  3. Step 3: Cross multiply
    7,241.28x = 9,993.42 × 4,097.94
  4. Step 4: Simplify right side
    7,241.28x = 40,952,435.55
  5. Step 5: Solve for x
    x = 40,952,435.55/7,241.28
  6. Step 6: Final answer
    x = 5,655.41

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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.