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Finding the Fourth Proportional to 6,578.44, 9,077.77 and 3,593.64

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Solution

The fourth proportional to 6,578.44, 9,077.77 and 3,593.64 is: 4,958.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.44 : 9,077.77 = 3,593.64 : x
  2. Step 2: Convert to fraction form
    6,578.44/9,077.77 = 3,593.64/x
  3. Step 3: Cross multiply
    6,578.44x = 9,077.77 × 3,593.64
  4. Step 4: Simplify right side
    6,578.44x = 32,622,237.38
  5. Step 5: Solve for x
    x = 32,622,237.38/6,578.44
  6. Step 6: Final answer
    x = 4,958.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.