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Finding the Fourth Proportional to 7,662.78, 11,491.66 and 2,982.46

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Solution

The fourth proportional to 7,662.78, 11,491.66 and 2,982.46 is: 4,472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.78 : 11,491.66 = 2,982.46 : x
  2. Step 2: Convert to fraction form
    7,662.78/11,491.66 = 2,982.46/x
  3. Step 3: Cross multiply
    7,662.78x = 11,491.66 × 2,982.46
  4. Step 4: Simplify right side
    7,662.78x = 34,273,416.28
  5. Step 5: Solve for x
    x = 34,273,416.28/7,662.78
  6. Step 6: Final answer
    x = 4,472.71

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1.5x scale

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.