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Finding the Fourth Proportional to 6,502.50, 9,745.96 and 3,336.69

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Solution

The fourth proportional to 6,502.50, 9,745.96 and 3,336.69 is: 5,001.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.50 : 9,745.96 = 3,336.69 : x
  2. Step 2: Convert to fraction form
    6,502.50/9,745.96 = 3,336.69/x
  3. Step 3: Cross multiply
    6,502.50x = 9,745.96 × 3,336.69
  4. Step 4: Simplify right side
    6,502.50x = 32,519,190.20
  5. Step 5: Solve for x
    x = 32,519,190.20/6,502.50
  6. Step 6: Final answer
    x = 5,001.03

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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.