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Finding the Fourth Proportional to 12,183.77, 16,813.63 and 6,594.77

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Solution

The fourth proportional to 12,183.77, 16,813.63 and 6,594.77 is: 9,100.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.77 : 16,813.63 = 6,594.77 : x
  2. Step 2: Convert to fraction form
    12,183.77/16,813.63 = 6,594.77/x
  3. Step 3: Cross multiply
    12,183.77x = 16,813.63 × 6,594.77
  4. Step 4: Simplify right side
    12,183.77x = 110,882,072.99
  5. Step 5: Solve for x
    x = 110,882,072.99/12,183.77
  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.