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Finding the Fourth Proportional to 6,297.25, 9,442.74 and 3,665.63

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Solution

The fourth proportional to 6,297.25, 9,442.74 and 3,665.63 is: 5,496.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.25 : 9,442.74 = 3,665.63 : x
  2. Step 2: Convert to fraction form
    6,297.25/9,442.74 = 3,665.63/x
  3. Step 3: Cross multiply
    6,297.25x = 9,442.74 × 3,665.63
  4. Step 4: Simplify right side
    6,297.25x = 34,613,591.03
  5. Step 5: Solve for x
    x = 34,613,591.03/6,297.25
  6. Step 6: Final answer
    x = 5,496.62

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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.