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Finding the Fourth Proportional to 12,183.48, 16,813.19 and 6,594.48

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Solution

The fourth proportional to 12,183.48, 16,813.19 and 6,594.48 is: 9,100.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.48 : 16,813.19 = 6,594.48 : x
  2. Step 2: Convert to fraction form
    12,183.48/16,813.19 = 6,594.48/x
  3. Step 3: Cross multiply
    12,183.48x = 16,813.19 × 6,594.48
  4. Step 4: Simplify right side
    12,183.48x = 110,874,212.22
  5. Step 5: Solve for x
    x = 110,874,212.22/12,183.48
  6. Step 6: Final answer
    x = 9,100.37

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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.