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Finding the Fourth Proportional to 8,535.54, 12,797.24 and 3,266.12

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Solution

The fourth proportional to 8,535.54, 12,797.24 and 3,266.12 is: 4,896.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.54 : 12,797.24 = 3,266.12 : x
  2. Step 2: Convert to fraction form
    8,535.54/12,797.24 = 3,266.12/x
  3. Step 3: Cross multiply
    8,535.54x = 12,797.24 × 3,266.12
  4. Step 4: Simplify right side
    8,535.54x = 41,797,241.19
  5. Step 5: Solve for x
    x = 41,797,241.19/8,535.54
  6. Step 6: Final answer
    x = 4,896.85

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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.