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Finding the Fourth Proportional to 6,388.96, 9,583.44 and 3,796.96

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Solution

The fourth proportional to 6,388.96, 9,583.44 and 3,796.96 is: 5,695.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.96 : 9,583.44 = 3,796.96 : x
  2. Step 2: Convert to fraction form
    6,388.96/9,583.44 = 3,796.96/x
  3. Step 3: Cross multiply
    6,388.96x = 9,583.44 × 3,796.96
  4. Step 4: Simplify right side
    6,388.96x = 36,387,938.34
  5. Step 5: Solve for x
    x = 36,387,938.34/6,388.96
  6. Step 6: Final answer
    x = 5,695.44

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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.