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Finding the Fourth Proportional to 7,241.54, 10,863.12 and 2,309.42

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Solution

The fourth proportional to 7,241.54, 10,863.12 and 2,309.42 is: 3,464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.54 : 10,863.12 = 2,309.42 : x
  2. Step 2: Convert to fraction form
    7,241.54/10,863.12 = 2,309.42/x
  3. Step 3: Cross multiply
    7,241.54x = 10,863.12 × 2,309.42
  4. Step 4: Simplify right side
    7,241.54x = 25,087,506.59
  5. Step 5: Solve for x
    x = 25,087,506.59/7,241.54
  6. Step 6: Final answer
    x = 3,464.39

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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.