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Finding the Fourth Proportional to 12,183.78, 16,813.62 and 6,594.78

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Solution

The fourth proportional to 12,183.78, 16,813.62 and 6,594.78 is: 9,100.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.78 : 16,813.62 = 6,594.78 : x
  2. Step 2: Convert to fraction form
    12,183.78/16,813.62 = 6,594.78/x
  3. Step 3: Cross multiply
    12,183.78x = 16,813.62 × 6,594.78
  4. Step 4: Simplify right side
    12,183.78x = 110,882,124.90
  5. Step 5: Solve for x
    x = 110,882,124.90/12,183.78
  6. Step 6: Final answer
    x = 9,100.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.