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Finding the Fourth Proportional to 8,161.83, 12,235.05 and 6,684.39

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Solution

The fourth proportional to 8,161.83, 12,235.05 and 6,684.39 is: 10,020.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.83 : 12,235.05 = 6,684.39 : x
  2. Step 2: Convert to fraction form
    8,161.83/12,235.05 = 6,684.39/x
  3. Step 3: Cross multiply
    8,161.83x = 12,235.05 × 6,684.39
  4. Step 4: Simplify right side
    8,161.83x = 81,783,845.87
  5. Step 5: Solve for x
    x = 81,783,845.87/8,161.83
  6. Step 6: Final answer
    x = 10,020.28

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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.