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Finding the Fourth Proportional to 15,794.11, 21,786.73 and 10,205.11

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Solution

The fourth proportional to 15,794.11, 21,786.73 and 10,205.11 is: 14,077.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,794.11 : 21,786.73 = 10,205.11 : x
  2. Step 2: Convert to fraction form
    15,794.11/21,786.73 = 10,205.11/x
  3. Step 3: Cross multiply
    15,794.11x = 21,786.73 × 10,205.11
  4. Step 4: Simplify right side
    15,794.11x = 222,335,976.19
  5. Step 5: Solve for x
    x = 222,335,976.19/15,794.11
  6. Step 6: Final answer
    x = 14,077.14

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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.