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Finding the Fourth Proportional to 12,859.14, 17,744.09 and 7,194.21

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Solution

The fourth proportional to 12,859.14, 17,744.09 and 7,194.21 is: 9,927.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,859.14 : 17,744.09 = 7,194.21 : x
  2. Step 2: Convert to fraction form
    12,859.14/17,744.09 = 7,194.21/x
  3. Step 3: Cross multiply
    12,859.14x = 17,744.09 × 7,194.21
  4. Step 4: Simplify right side
    12,859.14x = 127,654,709.72
  5. Step 5: Solve for x
    x = 127,654,709.72/12,859.14
  6. Step 6: Final answer
    x = 9,927.16

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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.