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Finding the Fourth Proportional to 12,183.80, 18,282.90 and 8,035.80

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Solution

The fourth proportional to 12,183.80, 18,282.90 and 8,035.80 is: 12,058.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.80 : 18,282.90 = 8,035.80 : x
  2. Step 2: Convert to fraction form
    12,183.80/18,282.90 = 8,035.80/x
  3. Step 3: Cross multiply
    12,183.80x = 18,282.90 × 8,035.80
  4. Step 4: Simplify right side
    12,183.80x = 146,917,727.82
  5. Step 5: Solve for x
    x = 146,917,727.82/12,183.80
  6. Step 6: Final answer
    x = 12,058.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.