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Finding the Fourth Proportional to 6,408.97, 9,607.73 and 3,449.00

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Solution

The fourth proportional to 6,408.97, 9,607.73 and 3,449.00 is: 5,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.97 : 9,607.73 = 3,449.00 : x
  2. Step 2: Convert to fraction form
    6,408.97/9,607.73 = 3,449.00/x
  3. Step 3: Cross multiply
    6,408.97x = 9,607.73 × 3,449.00
  4. Step 4: Simplify right side
    6,408.97x = 33,137,032.90
  5. Step 5: Solve for x
    x = 33,137,032.90/6,408.97
  6. Step 6: Final answer
    x = 5,170.41

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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.