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Finding the Fourth Proportional to 12,049.43, 18,005.08 and 9,184.06

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Solution

The fourth proportional to 12,049.43, 18,005.08 and 9,184.06 is: 13,723.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.43 : 18,005.08 = 9,184.06 : x
  2. Step 2: Convert to fraction form
    12,049.43/18,005.08 = 9,184.06/x
  3. Step 3: Cross multiply
    12,049.43x = 18,005.08 × 9,184.06
  4. Step 4: Simplify right side
    12,049.43x = 165,359,622.04
  5. Step 5: Solve for x
    x = 165,359,622.04/12,049.43
  6. Step 6: Final answer
    x = 13,723.44

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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.