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Finding the Fourth Proportional to 13,844.71, 19,103.92 and 7,794.19

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Solution

The fourth proportional to 13,844.71, 19,103.92 and 7,794.19 is: 10,754.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,844.71 : 19,103.92 = 7,794.19 : x
  2. Step 2: Convert to fraction form
    13,844.71/19,103.92 = 7,794.19/x
  3. Step 3: Cross multiply
    13,844.71x = 19,103.92 × 7,794.19
  4. Step 4: Simplify right side
    13,844.71x = 148,899,447.73
  5. Step 5: Solve for x
    x = 148,899,447.73/13,844.71
  6. Step 6: Final answer
    x = 10,754.97

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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.