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Finding the Fourth Proportional to 7,241.52, 9,993.84 and 4,098.18

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Solution

The fourth proportional to 7,241.52, 9,993.84 and 4,098.18 is: 5,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.52 : 9,993.84 = 4,098.18 : x
  2. Step 2: Convert to fraction form
    7,241.52/9,993.84 = 4,098.18/x
  3. Step 3: Cross multiply
    7,241.52x = 9,993.84 × 4,098.18
  4. Step 4: Simplify right side
    7,241.52x = 40,956,555.21
  5. Step 5: Solve for x
    x = 40,956,555.21/7,241.52
  6. Step 6: Final answer
    x = 5,655.80

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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.