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Finding the Fourth Proportional to 27,679.50, 41,514.09 and 7,416.50

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Solution

The fourth proportional to 27,679.50, 41,514.09 and 7,416.50 is: 11,123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,679.50 : 41,514.09 = 7,416.50 : x
  2. Step 2: Convert to fraction form
    27,679.50/41,514.09 = 7,416.50/x
  3. Step 3: Cross multiply
    27,679.50x = 41,514.09 × 7,416.50
  4. Step 4: Simplify right side
    27,679.50x = 307,889,168.78
  5. Step 5: Solve for x
    x = 307,889,168.78/27,679.50
  6. Step 6: Final answer
    x = 11,123.36

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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.