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Finding the Fourth Proportional to 6,966.90, 10,447.29 and 3,270.24

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Solution

The fourth proportional to 6,966.90, 10,447.29 and 3,270.24 is: 4,903.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.90 : 10,447.29 = 3,270.24 : x
  2. Step 2: Convert to fraction form
    6,966.90/10,447.29 = 3,270.24/x
  3. Step 3: Cross multiply
    6,966.90x = 10,447.29 × 3,270.24
  4. Step 4: Simplify right side
    6,966.90x = 34,165,145.65
  5. Step 5: Solve for x
    x = 34,165,145.65/6,966.90
  6. Step 6: Final answer
    x = 4,903.92

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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.