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Finding the Fourth Proportional to 8,182.16, 12,266.16 and 3,797.36

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Solution

The fourth proportional to 8,182.16, 12,266.16 and 3,797.36 is: 5,692.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.16 : 12,266.16 = 3,797.36 : x
  2. Step 2: Convert to fraction form
    8,182.16/12,266.16 = 3,797.36/x
  3. Step 3: Cross multiply
    8,182.16x = 12,266.16 × 3,797.36
  4. Step 4: Simplify right side
    8,182.16x = 46,579,025.34
  5. Step 5: Solve for x
    x = 46,579,025.34/8,182.16
  6. Step 6: Final answer
    x = 5,692.75

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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.