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Finding the Fourth Proportional to 6,472.36, 9,693.50 and 3,175.24

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Solution

The fourth proportional to 6,472.36, 9,693.50 and 3,175.24 is: 4,755.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.36 : 9,693.50 = 3,175.24 : x
  2. Step 2: Convert to fraction form
    6,472.36/9,693.50 = 3,175.24/x
  3. Step 3: Cross multiply
    6,472.36x = 9,693.50 × 3,175.24
  4. Step 4: Simplify right side
    6,472.36x = 30,779,188.94
  5. Step 5: Solve for x
    x = 30,779,188.94/6,472.36
  6. Step 6: Final answer
    x = 4,755.48

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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.