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Finding the Fourth Proportional to 8,226.71, 12,339.86 and 3,849.07

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Solution

The fourth proportional to 8,226.71, 12,339.86 and 3,849.07 is: 5,773.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.71 : 12,339.86 = 3,849.07 : x
  2. Step 2: Convert to fraction form
    8,226.71/12,339.86 = 3,849.07/x
  3. Step 3: Cross multiply
    8,226.71x = 12,339.86 × 3,849.07
  4. Step 4: Simplify right side
    8,226.71x = 47,496,984.93
  5. Step 5: Solve for x
    x = 47,496,984.93/8,226.71
  6. Step 6: Final answer
    x = 5,773.51

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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.