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Finding the Fourth Proportional to 6,398.50, 9,600.54 and 2,241.49

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Solution

The fourth proportional to 6,398.50, 9,600.54 and 2,241.49 is: 3,363.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.50 : 9,600.54 = 2,241.49 : x
  2. Step 2: Convert to fraction form
    6,398.50/9,600.54 = 2,241.49/x
  3. Step 3: Cross multiply
    6,398.50x = 9,600.54 × 2,241.49
  4. Step 4: Simplify right side
    6,398.50x = 21,519,544.01
  5. Step 5: Solve for x
    x = 21,519,544.01/6,398.50
  6. Step 6: Final answer
    x = 3,363.22

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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.