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Finding the Fourth Proportional to 8,206.68, 12,310.02 and 3,826.20

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Solution

The fourth proportional to 8,206.68, 12,310.02 and 3,826.20 is: 5,739.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.68 : 12,310.02 = 3,826.20 : x
  2. Step 2: Convert to fraction form
    8,206.68/12,310.02 = 3,826.20/x
  3. Step 3: Cross multiply
    8,206.68x = 12,310.02 × 3,826.20
  4. Step 4: Simplify right side
    8,206.68x = 47,100,598.52
  5. Step 5: Solve for x
    x = 47,100,598.52/8,206.68
  6. Step 6: Final answer
    x = 5,739.30

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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.