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Finding the Fourth Proportional to 8,197.56, 12,296.43 and 3,813.84

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Solution

The fourth proportional to 8,197.56, 12,296.43 and 3,813.84 is: 5,720.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.56 : 12,296.43 = 3,813.84 : x
  2. Step 2: Convert to fraction form
    8,197.56/12,296.43 = 3,813.84/x
  3. Step 3: Cross multiply
    8,197.56x = 12,296.43 × 3,813.84
  4. Step 4: Simplify right side
    8,197.56x = 46,896,616.59
  5. Step 5: Solve for x
    x = 46,896,616.59/8,197.56
  6. Step 6: Final answer
    x = 5,720.80

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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.