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Finding the Fourth Proportional to 6,453.34, 9,680.46 and 2,071.15

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Solution

The fourth proportional to 6,453.34, 9,680.46 and 2,071.15 is: 3,106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.34 : 9,680.46 = 2,071.15 : x
  2. Step 2: Convert to fraction form
    6,453.34/9,680.46 = 2,071.15/x
  3. Step 3: Cross multiply
    6,453.34x = 9,680.46 × 2,071.15
  4. Step 4: Simplify right side
    6,453.34x = 20,049,684.73
  5. Step 5: Solve for x
    x = 20,049,684.73/6,453.34
  6. Step 6: Final answer
    x = 3,106.87

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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.