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Finding the Fourth Proportional to 7,843.92, 11,753.73 and 6,196.38

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Solution

The fourth proportional to 7,843.92, 11,753.73 and 6,196.38 is: 9,284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.92 : 11,753.73 = 6,196.38 : x
  2. Step 2: Convert to fraction form
    7,843.92/11,753.73 = 6,196.38/x
  3. Step 3: Cross multiply
    7,843.92x = 11,753.73 × 6,196.38
  4. Step 4: Simplify right side
    7,843.92x = 72,830,577.50
  5. Step 5: Solve for x
    x = 72,830,577.50/7,843.92
  6. Step 6: Final answer
    x = 9,284.97

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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.