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Finding the Fourth Proportional to 6,967.47, 10,448.13 and 3,266.71

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Solution

The fourth proportional to 6,967.47, 10,448.13 and 3,266.71 is: 4,898.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.47 : 10,448.13 = 3,266.71 : x
  2. Step 2: Convert to fraction form
    6,967.47/10,448.13 = 3,266.71/x
  3. Step 3: Cross multiply
    6,967.47x = 10,448.13 × 3,266.71
  4. Step 4: Simplify right side
    6,967.47x = 34,131,010.75
  5. Step 5: Solve for x
    x = 34,131,010.75/6,967.47
  6. Step 6: Final answer
    x = 4,898.62

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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.