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Finding the Fourth Proportional to 6,412.30, 9,628.35 and 3,496.30

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Solution

The fourth proportional to 6,412.30, 9,628.35 and 3,496.30 is: 5,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.30 : 9,628.35 = 3,496.30 : x
  2. Step 2: Convert to fraction form
    6,412.30/9,628.35 = 3,496.30/x
  3. Step 3: Cross multiply
    6,412.30x = 9,628.35 × 3,496.30
  4. Step 4: Simplify right side
    6,412.30x = 33,663,600.11
  5. Step 5: Solve for x
    x = 33,663,600.11/6,412.30
  6. Step 6: Final answer
    x = 5,249.85

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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.