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Finding the Fourth Proportional to 6,951.35, 10,428.64 and 2,271.57

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Solution

The fourth proportional to 6,951.35, 10,428.64 and 2,271.57 is: 3,407.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.35 : 10,428.64 = 2,271.57 : x
  2. Step 2: Convert to fraction form
    6,951.35/10,428.64 = 2,271.57/x
  3. Step 3: Cross multiply
    6,951.35x = 10,428.64 × 2,271.57
  4. Step 4: Simplify right side
    6,951.35x = 23,689,380.09
  5. Step 5: Solve for x
    x = 23,689,380.09/6,951.35
  6. Step 6: Final answer
    x = 3,407.88

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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.