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Finding the Fourth Proportional to 8,193.69, 12,285.81 and 4,024.62

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Solution

The fourth proportional to 8,193.69, 12,285.81 and 4,024.62 is: 6,034.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.69 : 12,285.81 = 4,024.62 : x
  2. Step 2: Convert to fraction form
    8,193.69/12,285.81 = 4,024.62/x
  3. Step 3: Cross multiply
    8,193.69x = 12,285.81 × 4,024.62
  4. Step 4: Simplify right side
    8,193.69x = 49,445,716.64
  5. Step 5: Solve for x
    x = 49,445,716.64/8,193.69
  6. Step 6: Final answer
    x = 6,034.61

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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.