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Finding the Fourth Proportional to 6,318.92, 9,478.36 and 1,638.54

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Solution

The fourth proportional to 6,318.92, 9,478.36 and 1,638.54 is: 2,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.92 : 9,478.36 = 1,638.54 : x
  2. Step 2: Convert to fraction form
    6,318.92/9,478.36 = 1,638.54/x
  3. Step 3: Cross multiply
    6,318.92x = 9,478.36 × 1,638.54
  4. Step 4: Simplify right side
    6,318.92x = 15,530,674.04
  5. Step 5: Solve for x
    x = 15,530,674.04/6,318.92
  6. Step 6: Final answer
    x = 2,457.80

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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.