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Finding the Fourth Proportional to 12,183.21, 16,812.86 and 6,594.21

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Solution

The fourth proportional to 12,183.21, 16,812.86 and 6,594.21 is: 9,100.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.21 : 16,812.86 = 6,594.21 : x
  2. Step 2: Convert to fraction form
    12,183.21/16,812.86 = 6,594.21/x
  3. Step 3: Cross multiply
    12,183.21x = 16,812.86 × 6,594.21
  4. Step 4: Simplify right side
    12,183.21x = 110,867,496.57
  5. Step 5: Solve for x
    x = 110,867,496.57/12,183.21
  6. Step 6: Final answer
    x = 9,100.02

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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.