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Finding the Fourth Proportional to 19,894.84, 27,454.74 and 10,942.12

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Solution

The fourth proportional to 19,894.84, 27,454.74 and 10,942.12 is: 15,100.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,894.84 : 27,454.74 = 10,942.12 : x
  2. Step 2: Convert to fraction form
    19,894.84/27,454.74 = 10,942.12/x
  3. Step 3: Cross multiply
    19,894.84x = 27,454.74 × 10,942.12
  4. Step 4: Simplify right side
    19,894.84x = 300,413,059.65
  5. Step 5: Solve for x
    x = 300,413,059.65/19,894.84
  6. Step 6: Final answer
    x = 15,100.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.