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Finding the Fourth Proportional to 8,175.96, 12,263.62 and 2,019.96

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Solution

The fourth proportional to 8,175.96, 12,263.62 and 2,019.96 is: 3,029.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.96 : 12,263.62 = 2,019.96 : x
  2. Step 2: Convert to fraction form
    8,175.96/12,263.62 = 2,019.96/x
  3. Step 3: Cross multiply
    8,175.96x = 12,263.62 × 2,019.96
  4. Step 4: Simplify right side
    8,175.96x = 24,772,021.86
  5. Step 5: Solve for x
    x = 24,772,021.86/8,175.96
  6. Step 6: Final answer
    x = 3,029.86

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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.