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Finding the Fourth Proportional to 6,534.36, 9,796.12 and 3,249.74

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Solution

The fourth proportional to 6,534.36, 9,796.12 and 3,249.74 is: 4,871.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.36 : 9,796.12 = 3,249.74 : x
  2. Step 2: Convert to fraction form
    6,534.36/9,796.12 = 3,249.74/x
  3. Step 3: Cross multiply
    6,534.36x = 9,796.12 × 3,249.74
  4. Step 4: Simplify right side
    6,534.36x = 31,834,843.01
  5. Step 5: Solve for x
    x = 31,834,843.01/6,534.36
  6. Step 6: Final answer
    x = 4,871.91

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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.