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Finding the Fourth Proportional to 8,167.74, 12,245.94 and 4,471.71

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Solution

The fourth proportional to 8,167.74, 12,245.94 and 4,471.71 is: 6,704.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.74 : 12,245.94 = 4,471.71 : x
  2. Step 2: Convert to fraction form
    8,167.74/12,245.94 = 4,471.71/x
  3. Step 3: Cross multiply
    8,167.74x = 12,245.94 × 4,471.71
  4. Step 4: Simplify right side
    8,167.74x = 54,760,292.36
  5. Step 5: Solve for x
    x = 54,760,292.36/8,167.74
  6. Step 6: Final answer
    x = 6,704.46

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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.