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Finding the Fourth Proportional to 12,183.75, 16,813.58 and 6,594.75

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Solution

The fourth proportional to 12,183.75, 16,813.58 and 6,594.75 is: 9,100.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.75 : 16,813.58 = 6,594.75 : x
  2. Step 2: Convert to fraction form
    12,183.75/16,813.58 = 6,594.75/x
  3. Step 3: Cross multiply
    12,183.75x = 16,813.58 × 6,594.75
  4. Step 4: Simplify right side
    12,183.75x = 110,881,323.73
  5. Step 5: Solve for x
    x = 110,881,323.73/12,183.75
  6. Step 6: Final answer
    x = 9,100.76

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Half scale
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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.