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Finding the Fourth Proportional to 6,420.02, 9,633.62 and 3,498.53

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Solution

The fourth proportional to 6,420.02, 9,633.62 and 3,498.53 is: 5,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.02 : 9,633.62 = 3,498.53 : x
  2. Step 2: Convert to fraction form
    6,420.02/9,633.62 = 3,498.53/x
  3. Step 3: Cross multiply
    6,420.02x = 9,633.62 × 3,498.53
  4. Step 4: Simplify right side
    6,420.02x = 33,703,469.16
  5. Step 5: Solve for x
    x = 33,703,469.16/6,420.02
  6. Step 6: Final answer
    x = 5,249.75

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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.