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Finding the Fourth Proportional to 18,306.46, 27,462.93 and 6,908.14

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Solution

The fourth proportional to 18,306.46, 27,462.93 and 6,908.14 is: 10,363.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,306.46 : 27,462.93 = 6,908.14 : x
  2. Step 2: Convert to fraction form
    18,306.46/27,462.93 = 6,908.14/x
  3. Step 3: Cross multiply
    18,306.46x = 27,462.93 × 6,908.14
  4. Step 4: Simplify right side
    18,306.46x = 189,717,593.39
  5. Step 5: Solve for x
    x = 189,717,593.39/18,306.46
  6. Step 6: Final answer
    x = 10,363.43

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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.