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Finding the Fourth Proportional to 6,362.82, 9,536.74 and 3,731.60

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Solution

The fourth proportional to 6,362.82, 9,536.74 and 3,731.60 is: 5,593.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362.82 : 9,536.74 = 3,731.60 : x
  2. Step 2: Convert to fraction form
    6,362.82/9,536.74 = 3,731.60/x
  3. Step 3: Cross multiply
    6,362.82x = 9,536.74 × 3,731.60
  4. Step 4: Simplify right side
    6,362.82x = 35,587,313.50
  5. Step 5: Solve for x
    x = 35,587,313.50/6,362.82
  6. Step 6: Final answer
    x = 5,593.01

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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.