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Finding the Fourth Proportional to 27,697.94, 41,546.91 and 6,921.44

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Solution

The fourth proportional to 27,697.94, 41,546.91 and 6,921.44 is: 10,382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,697.94 : 41,546.91 = 6,921.44 : x
  2. Step 2: Convert to fraction form
    27,697.94/41,546.91 = 6,921.44/x
  3. Step 3: Cross multiply
    27,697.94x = 41,546.91 × 6,921.44
  4. Step 4: Simplify right side
    27,697.94x = 287,564,444.75
  5. Step 5: Solve for x
    x = 287,564,444.75/27,697.94
  6. Step 6: Final answer
    x = 10,382.16

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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.