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Finding the Fourth Proportional to 6,964.50, 10,446.90 and 3,264.69

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Solution

The fourth proportional to 6,964.50, 10,446.90 and 3,264.69 is: 4,897.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.50 : 10,446.90 = 3,264.69 : x
  2. Step 2: Convert to fraction form
    6,964.50/10,446.90 = 3,264.69/x
  3. Step 3: Cross multiply
    6,964.50x = 10,446.90 × 3,264.69
  4. Step 4: Simplify right side
    6,964.50x = 34,105,889.96
  5. Step 5: Solve for x
    x = 34,105,889.96/6,964.50
  6. Step 6: Final answer
    x = 4,897.11

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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.