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Finding the Fourth Proportional to 18,119.92, 27,187.74 and 9,805.78

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Solution

The fourth proportional to 18,119.92, 27,187.74 and 9,805.78 is: 14,712.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,119.92 : 27,187.74 = 9,805.78 : x
  2. Step 2: Convert to fraction form
    18,119.92/27,187.74 = 9,805.78/x
  3. Step 3: Cross multiply
    18,119.92x = 27,187.74 × 9,805.78
  4. Step 4: Simplify right side
    18,119.92x = 266,596,997.14
  5. Step 5: Solve for x
    x = 266,596,997.14/18,119.92
  6. Step 6: Final answer
    x = 14,712.92

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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.