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Finding the Fourth Proportional to 12,049.93, 18,005.83 and 9,184.56

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Solution

The fourth proportional to 12,049.93, 18,005.83 and 9,184.56 is: 13,724.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.93 : 18,005.83 = 9,184.56 : x
  2. Step 2: Convert to fraction form
    12,049.93/18,005.83 = 9,184.56/x
  3. Step 3: Cross multiply
    12,049.93x = 18,005.83 × 9,184.56
  4. Step 4: Simplify right side
    12,049.93x = 165,375,490.03
  5. Step 5: Solve for x
    x = 165,375,490.03/12,049.93
  6. Step 6: Final answer
    x = 13,724.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.