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Finding the Fourth Proportional to 12,237.11, 18,361.94 and 5,997

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Solution

The fourth proportional to 12,237.11, 18,361.94 and 5,997 is: 8,998.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,237.11 : 18,361.94 = 5,997 : x
  2. Step 2: Convert to fraction form
    12,237.11/18,361.94 = 5,997/x
  3. Step 3: Cross multiply
    12,237.11x = 18,361.94 × 5,997
  4. Step 4: Simplify right side
    12,237.11x = 110,116,524.20
  5. Step 5: Solve for x
    x = 110,116,524.20/12,237.11
  6. Step 6: Final answer
    x = 8,998.58

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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.