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Finding the Fourth Proportional to 6,014.96, 9,022.43 and 1,633.06

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Solution

The fourth proportional to 6,014.96, 9,022.43 and 1,633.06 is: 2,449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014.96 : 9,022.43 = 1,633.06 : x
  2. Step 2: Convert to fraction form
    6,014.96/9,022.43 = 1,633.06/x
  3. Step 3: Cross multiply
    6,014.96x = 9,022.43 × 1,633.06
  4. Step 4: Simplify right side
    6,014.96x = 14,734,124.42
  5. Step 5: Solve for x
    x = 14,734,124.42/6,014.96
  6. Step 6: Final answer
    x = 2,449.58

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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.