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Finding the Fourth Proportional to 6,361.02, 9,540.99 and 1,744.02

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Solution

The fourth proportional to 6,361.02, 9,540.99 and 1,744.02 is: 2,615.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.02 : 9,540.99 = 1,744.02 : x
  2. Step 2: Convert to fraction form
    6,361.02/9,540.99 = 1,744.02/x
  3. Step 3: Cross multiply
    6,361.02x = 9,540.99 × 1,744.02
  4. Step 4: Simplify right side
    6,361.02x = 16,639,677.38
  5. Step 5: Solve for x
    x = 16,639,677.38/6,361.02
  6. Step 6: Final answer
    x = 2,615.88

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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.