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Finding the Fourth Proportional to 7,241.93, 9,993.57 and 4,098.17

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Solution

The fourth proportional to 7,241.93, 9,993.57 and 4,098.17 is: 5,655.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.93 : 9,993.57 = 4,098.17 : x
  2. Step 2: Convert to fraction form
    7,241.93/9,993.57 = 4,098.17/x
  3. Step 3: Cross multiply
    7,241.93x = 9,993.57 × 4,098.17
  4. Step 4: Simplify right side
    7,241.93x = 40,955,348.77
  5. Step 5: Solve for x
    x = 40,955,348.77/7,241.93
  6. Step 6: Final answer
    x = 5,655.31

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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.