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Finding the Fourth Proportional to 6,012.20, 9,016.92 and 1,630

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Solution

The fourth proportional to 6,012.20, 9,016.92 and 1,630 is: 2,444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012.20 : 9,016.92 = 1,630 : x
  2. Step 2: Convert to fraction form
    6,012.20/9,016.92 = 1,630/x
  3. Step 3: Cross multiply
    6,012.20x = 9,016.92 × 1,630
  4. Step 4: Simplify right side
    6,012.20x = 14,697,579.60
  5. Step 5: Solve for x
    x = 14,697,579.60/6,012.20
  6. Step 6: Final answer
    x = 2,444.63

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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.