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Finding the Fourth Proportional to 5,584.44, 8,410.11 and 5,086.22

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Solution

The fourth proportional to 5,584.44, 8,410.11 and 5,086.22 is: 7,659.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.44 : 8,410.11 = 5,086.22 : x
  2. Step 2: Convert to fraction form
    5,584.44/8,410.11 = 5,086.22/x
  3. Step 3: Cross multiply
    5,584.44x = 8,410.11 × 5,086.22
  4. Step 4: Simplify right side
    5,584.44x = 42,775,627.63
  5. Step 5: Solve for x
    x = 42,775,627.63/5,584.44
  6. Step 6: Final answer
    x = 7,659.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.