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Finding the Fourth Proportional to 11,744.12, 17,611.06 and 4,443

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Solution

The fourth proportional to 11,744.12, 17,611.06 and 4,443 is: 6,662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.12 : 17,611.06 = 4,443 : x
  2. Step 2: Convert to fraction form
    11,744.12/17,611.06 = 4,443/x
  3. Step 3: Cross multiply
    11,744.12x = 17,611.06 × 4,443
  4. Step 4: Simplify right side
    11,744.12x = 78,245,939.58
  5. Step 5: Solve for x
    x = 78,245,939.58/11,744.12
  6. Step 6: Final answer
    x = 6,662.56

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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.