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Finding the Fourth Proportional to 6,966.50, 10,449.90 and 3,266.69

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Solution

The fourth proportional to 6,966.50, 10,449.90 and 3,266.69 is: 4,900.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.50 : 10,449.90 = 3,266.69 : x
  2. Step 2: Convert to fraction form
    6,966.50/10,449.90 = 3,266.69/x
  3. Step 3: Cross multiply
    6,966.50x = 10,449.90 × 3,266.69
  4. Step 4: Simplify right side
    6,966.50x = 34,136,583.83
  5. Step 5: Solve for x
    x = 34,136,583.83/6,966.50
  6. Step 6: Final answer
    x = 4,900.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.