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Finding the Fourth Proportional to 6,049.63, 9,109.97 and 5,278.82

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Solution

The fourth proportional to 6,049.63, 9,109.97 and 5,278.82 is: 7,949.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.63 : 9,109.97 = 5,278.82 : x
  2. Step 2: Convert to fraction form
    6,049.63/9,109.97 = 5,278.82/x
  3. Step 3: Cross multiply
    6,049.63x = 9,109.97 × 5,278.82
  4. Step 4: Simplify right side
    6,049.63x = 48,089,865.44
  5. Step 5: Solve for x
    x = 48,089,865.44/6,049.63
  6. Step 6: Final answer
    x = 7,949.23

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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.