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Finding the Fourth Proportional to 6,012.70, 9,019.25 and 1,630.26

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Solution

The fourth proportional to 6,012.70, 9,019.25 and 1,630.26 is: 2,445.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012.70 : 9,019.25 = 1,630.26 : x
  2. Step 2: Convert to fraction form
    6,012.70/9,019.25 = 1,630.26/x
  3. Step 3: Cross multiply
    6,012.70x = 9,019.25 × 1,630.26
  4. Step 4: Simplify right side
    6,012.70x = 14,703,720.47
  5. Step 5: Solve for x
    x = 14,703,720.47/6,012.70
  6. Step 6: Final answer
    x = 2,445.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.