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Finding the Fourth Proportional to 27,662.58, 41,495.49 and 7,940.70

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Solution

The fourth proportional to 27,662.58, 41,495.49 and 7,940.70 is: 11,911.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,662.58 : 41,495.49 = 7,940.70 : x
  2. Step 2: Convert to fraction form
    27,662.58/41,495.49 = 7,940.70/x
  3. Step 3: Cross multiply
    27,662.58x = 41,495.49 × 7,940.70
  4. Step 4: Simplify right side
    27,662.58x = 329,503,237.44
  5. Step 5: Solve for x
    x = 329,503,237.44/27,662.58
  6. Step 6: Final answer
    x = 11,911.52

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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.