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Finding the Fourth Proportional to 6,015.76, 9,024 and 1,633.58

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Solution

The fourth proportional to 6,015.76, 9,024 and 1,633.58 is: 2,450.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,015.76 : 9,024 = 1,633.58 : x
  2. Step 2: Convert to fraction form
    6,015.76/9,024 = 1,633.58/x
  3. Step 3: Cross multiply
    6,015.76x = 9,024 × 1,633.58
  4. Step 4: Simplify right side
    6,015.76x = 14,741,425.92
  5. Step 5: Solve for x
    x = 14,741,425.92/6,015.76
  6. Step 6: Final answer
    x = 2,450.47

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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.