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Finding the Fourth Proportional to 6,489, 9,734.46 and 3,024.36

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Solution

The fourth proportional to 6,489, 9,734.46 and 3,024.36 is: 4,536.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489 : 9,734.46 = 3,024.36 : x
  2. Step 2: Convert to fraction form
    6,489/9,734.46 = 3,024.36/x
  3. Step 3: Cross multiply
    6,489x = 9,734.46 × 3,024.36
  4. Step 4: Simplify right side
    6,489x = 29,440,511.45
  5. Step 5: Solve for x
    x = 29,440,511.45/6,489
  6. Step 6: Final answer
    x = 4,536.99

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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.