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Finding the Fourth Proportional to 8,167.96, 12,250.32 and 2,324.62

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Solution

The fourth proportional to 8,167.96, 12,250.32 and 2,324.62 is: 3,486.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.96 : 12,250.32 = 2,324.62 : x
  2. Step 2: Convert to fraction form
    8,167.96/12,250.32 = 2,324.62/x
  3. Step 3: Cross multiply
    8,167.96x = 12,250.32 × 2,324.62
  4. Step 4: Simplify right side
    8,167.96x = 28,477,338.88
  5. Step 5: Solve for x
    x = 28,477,338.88/8,167.96
  6. Step 6: Final answer
    x = 3,486.47

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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.