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Finding the Fourth Proportional to 6,517.24, 8,984.46 and 4,651

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Solution

The fourth proportional to 6,517.24, 8,984.46 and 4,651 is: 6,411.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.24 : 8,984.46 = 4,651 : x
  2. Step 2: Convert to fraction form
    6,517.24/8,984.46 = 4,651/x
  3. Step 3: Cross multiply
    6,517.24x = 8,984.46 × 4,651
  4. Step 4: Simplify right side
    6,517.24x = 41,786,723.46
  5. Step 5: Solve for x
    x = 41,786,723.46/6,517.24
  6. Step 6: Final answer
    x = 6,411.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.