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Finding the Fourth Proportional to 6,418.68, 9,624 and 2,518.56

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Solution

The fourth proportional to 6,418.68, 9,624 and 2,518.56 is: 3,776.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.68 : 9,624 = 2,518.56 : x
  2. Step 2: Convert to fraction form
    6,418.68/9,624 = 2,518.56/x
  3. Step 3: Cross multiply
    6,418.68x = 9,624 × 2,518.56
  4. Step 4: Simplify right side
    6,418.68x = 24,238,621.44
  5. Step 5: Solve for x
    x = 24,238,621.44/6,418.68
  6. Step 6: Final answer
    x = 3,776.26

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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.