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Finding the Fourth Proportional to 11,847.52, 17,770.74 and 3,949.48

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Solution

The fourth proportional to 11,847.52, 17,770.74 and 3,949.48 is: 5,924.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.52 : 17,770.74 = 3,949.48 : x
  2. Step 2: Convert to fraction form
    11,847.52/17,770.74 = 3,949.48/x
  3. Step 3: Cross multiply
    11,847.52x = 17,770.74 × 3,949.48
  4. Step 4: Simplify right side
    11,847.52x = 70,185,182.22
  5. Step 5: Solve for x
    x = 70,185,182.22/11,847.52
  6. Step 6: Final answer
    x = 5,924.04

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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.