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Finding the Fourth Proportional to 6,450.13, 9,674.64 and 4,568.24

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Solution

The fourth proportional to 6,450.13, 9,674.64 and 4,568.24 is: 6,851.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.13 : 9,674.64 = 4,568.24 : x
  2. Step 2: Convert to fraction form
    6,450.13/9,674.64 = 4,568.24/x
  3. Step 3: Cross multiply
    6,450.13x = 9,674.64 × 4,568.24
  4. Step 4: Simplify right side
    6,450.13x = 44,196,077.43
  5. Step 5: Solve for x
    x = 44,196,077.43/6,450.13
  6. Step 6: Final answer
    x = 6,851.97

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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.