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Finding the Fourth Proportional to 18,097.84, 27,144.24 and 10,084.78

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Solution

The fourth proportional to 18,097.84, 27,144.24 and 10,084.78 is: 15,125.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097.84 : 27,144.24 = 10,084.78 : x
  2. Step 2: Convert to fraction form
    18,097.84/27,144.24 = 10,084.78/x
  3. Step 3: Cross multiply
    18,097.84x = 27,144.24 × 10,084.78
  4. Step 4: Simplify right side
    18,097.84x = 273,743,688.67
  5. Step 5: Solve for x
    x = 273,743,688.67/18,097.84
  6. Step 6: Final answer
    x = 15,125.77

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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.