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Finding the Fourth Proportional to 9,967.29, 13,754.70 and 5,936.94

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Solution

The fourth proportional to 9,967.29, 13,754.70 and 5,936.94 is: 8,192.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.29 : 13,754.70 = 5,936.94 : x
  2. Step 2: Convert to fraction form
    9,967.29/13,754.70 = 5,936.94/x
  3. Step 3: Cross multiply
    9,967.29x = 13,754.70 × 5,936.94
  4. Step 4: Simplify right side
    9,967.29x = 81,660,828.62
  5. Step 5: Solve for x
    x = 81,660,828.62/9,967.29
  6. Step 6: Final answer
    x = 8,192.88

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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.