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Finding the Fourth Proportional to 9,975.97, 14,963.86 and 3,819.97

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Solution

The fourth proportional to 9,975.97, 14,963.86 and 3,819.97 is: 5,729.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.97 : 14,963.86 = 3,819.97 : x
  2. Step 2: Convert to fraction form
    9,975.97/14,963.86 = 3,819.97/x
  3. Step 3: Cross multiply
    9,975.97x = 14,963.86 × 3,819.97
  4. Step 4: Simplify right side
    9,975.97x = 57,161,496.28
  5. Step 5: Solve for x
    x = 57,161,496.28/9,975.97
  6. Step 6: Final answer
    x = 5,729.92

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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.