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Finding the Fourth Proportional to 6,008, 9,012 and 1,625.12

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Solution

The fourth proportional to 6,008, 9,012 and 1,625.12 is: 2,437.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,008 : 9,012 = 1,625.12 : x
  2. Step 2: Convert to fraction form
    6,008/9,012 = 1,625.12/x
  3. Step 3: Cross multiply
    6,008x = 9,012 × 1,625.12
  4. Step 4: Simplify right side
    6,008x = 14,645,581.44
  5. Step 5: Solve for x
    x = 14,645,581.44/6,008
  6. Step 6: Final answer
    x = 2,437.68

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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.