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Finding the Fourth Proportional to 11,998.32, 18,003.96 and 5,842.32

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Solution

The fourth proportional to 11,998.32, 18,003.96 and 5,842.32 is: 8,766.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.32 : 18,003.96 = 5,842.32 : x
  2. Step 2: Convert to fraction form
    11,998.32/18,003.96 = 5,842.32/x
  3. Step 3: Cross multiply
    11,998.32x = 18,003.96 × 5,842.32
  4. Step 4: Simplify right side
    11,998.32x = 105,184,895.59
  5. Step 5: Solve for x
    x = 105,184,895.59/11,998.32
  6. Step 6: Final answer
    x = 8,766.64

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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.