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Finding the Fourth Proportional to 6,507.92, 9,765.32 and 3,548.49

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Solution

The fourth proportional to 6,507.92, 9,765.32 and 3,548.49 is: 5,324.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.92 : 9,765.32 = 3,548.49 : x
  2. Step 2: Convert to fraction form
    6,507.92/9,765.32 = 3,548.49/x
  3. Step 3: Cross multiply
    6,507.92x = 9,765.32 × 3,548.49
  4. Step 4: Simplify right side
    6,507.92x = 34,652,122.62
  5. Step 5: Solve for x
    x = 34,652,122.62/6,507.92
  6. Step 6: Final answer
    x = 5,324.61

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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.