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Finding the Fourth Proportional to 11,747.02, 17,616.12 and 3,847.66

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Solution

The fourth proportional to 11,747.02, 17,616.12 and 3,847.66 is: 5,770.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.02 : 17,616.12 = 3,847.66 : x
  2. Step 2: Convert to fraction form
    11,747.02/17,616.12 = 3,847.66/x
  3. Step 3: Cross multiply
    11,747.02x = 17,616.12 × 3,847.66
  4. Step 4: Simplify right side
    11,747.02x = 67,780,840.28
  5. Step 5: Solve for x
    x = 67,780,840.28/11,747.02
  6. Step 6: Final answer
    x = 5,770.05

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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.