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Finding the Fourth Proportional to 12,093.70, 18,140.55 and 6,823.30

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Solution

The fourth proportional to 12,093.70, 18,140.55 and 6,823.30 is: 10,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.70 : 18,140.55 = 6,823.30 : x
  2. Step 2: Convert to fraction form
    12,093.70/18,140.55 = 6,823.30/x
  3. Step 3: Cross multiply
    12,093.70x = 18,140.55 × 6,823.30
  4. Step 4: Simplify right side
    12,093.70x = 123,778,414.82
  5. Step 5: Solve for x
    x = 123,778,414.82/12,093.70
  6. Step 6: Final answer
    x = 10,234.95

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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.