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Finding the Fourth Proportional to 9,186.44, 13,780.64 and 2,944.22

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Solution

The fourth proportional to 9,186.44, 13,780.64 and 2,944.22 is: 4,416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.44 : 13,780.64 = 2,944.22 : x
  2. Step 2: Convert to fraction form
    9,186.44/13,780.64 = 2,944.22/x
  3. Step 3: Cross multiply
    9,186.44x = 13,780.64 × 2,944.22
  4. Step 4: Simplify right side
    9,186.44x = 40,573,235.90
  5. Step 5: Solve for x
    x = 40,573,235.90/9,186.44
  6. Step 6: Final answer
    x = 4,416.64

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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.