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Finding the Fourth Proportional to 7,997.71, 11,998.59 and 5,662.29

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Solution

The fourth proportional to 7,997.71, 11,998.59 and 5,662.29 is: 8,494.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.71 : 11,998.59 = 5,662.29 : x
  2. Step 2: Convert to fraction form
    7,997.71/11,998.59 = 5,662.29/x
  3. Step 3: Cross multiply
    7,997.71x = 11,998.59 × 5,662.29
  4. Step 4: Simplify right side
    7,997.71x = 67,939,496.17
  5. Step 5: Solve for x
    x = 67,939,496.17/7,997.71
  6. Step 6: Final answer
    x = 8,494.87

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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.