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Finding the Fourth Proportional to 4,241.07, 6,361.62 and 1,163.07

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Solution

The fourth proportional to 4,241.07, 6,361.62 and 1,163.07 is: 1,744.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.07 : 6,361.62 = 1,163.07 : x
  2. Step 2: Convert to fraction form
    4,241.07/6,361.62 = 1,163.07/x
  3. Step 3: Cross multiply
    4,241.07x = 6,361.62 × 1,163.07
  4. Step 4: Simplify right side
    4,241.07x = 7,399,009.37
  5. Step 5: Solve for x
    x = 7,399,009.37/4,241.07
  6. Step 6: Final answer
    x = 1,744.61

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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.