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Finding the Fourth Proportional to 11,900.73, 17,857.17 and 7,954.68

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Solution

The fourth proportional to 11,900.73, 17,857.17 and 7,954.68 is: 11,936.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.73 : 17,857.17 = 7,954.68 : x
  2. Step 2: Convert to fraction form
    11,900.73/17,857.17 = 7,954.68/x
  3. Step 3: Cross multiply
    11,900.73x = 17,857.17 × 7,954.68
  4. Step 4: Simplify right side
    11,900.73x = 142,048,073.06
  5. Step 5: Solve for x
    x = 142,048,073.06/11,900.73
  6. Step 6: Final answer
    x = 11,936.08

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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.