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Finding the Fourth Proportional to 7,241.57, 10,863.21 and 2,309.48

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Solution

The fourth proportional to 7,241.57, 10,863.21 and 2,309.48 is: 3,464.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.57 : 10,863.21 = 2,309.48 : x
  2. Step 2: Convert to fraction form
    7,241.57/10,863.21 = 2,309.48/x
  3. Step 3: Cross multiply
    7,241.57x = 10,863.21 × 2,309.48
  4. Step 4: Simplify right side
    7,241.57x = 25,088,366.23
  5. Step 5: Solve for x
    x = 25,088,366.23/7,241.57
  6. Step 6: Final answer
    x = 3,464.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.