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Finding the Fourth Proportional to 6,679.24, 10,021.24 and 2,981.14

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Solution

The fourth proportional to 6,679.24, 10,021.24 and 2,981.14 is: 4,472.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,679.24 : 10,021.24 = 2,981.14 : x
  2. Step 2: Convert to fraction form
    6,679.24/10,021.24 = 2,981.14/x
  3. Step 3: Cross multiply
    6,679.24x = 10,021.24 × 2,981.14
  4. Step 4: Simplify right side
    6,679.24x = 29,874,719.41
  5. Step 5: Solve for x
    x = 29,874,719.41/6,679.24
  6. Step 6: Final answer
    x = 4,472.77

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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.