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Finding the Fourth Proportional to 27,968.46, 41,943.78 and 9,245

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Solution

The fourth proportional to 27,968.46, 41,943.78 and 9,245 is: 13,864.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,968.46 : 41,943.78 = 9,245 : x
  2. Step 2: Convert to fraction form
    27,968.46/41,943.78 = 9,245/x
  3. Step 3: Cross multiply
    27,968.46x = 41,943.78 × 9,245
  4. Step 4: Simplify right side
    27,968.46x = 387,770,246.10
  5. Step 5: Solve for x
    x = 387,770,246.10/27,968.46
  6. Step 6: Final answer
    x = 13,864.55

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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.