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Finding the Fourth Proportional to 11,796.64, 17,683.86 and 3,999.92

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Solution

The fourth proportional to 11,796.64, 17,683.86 and 3,999.92 is: 5,996.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.64 : 17,683.86 = 3,999.92 : x
  2. Step 2: Convert to fraction form
    11,796.64/17,683.86 = 3,999.92/x
  3. Step 3: Cross multiply
    11,796.64x = 17,683.86 × 3,999.92
  4. Step 4: Simplify right side
    11,796.64x = 70,734,025.29
  5. Step 5: Solve for x
    x = 70,734,025.29/11,796.64
  6. Step 6: Final answer
    x = 5,996.12

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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.