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Finding the Fourth Proportional to 27,679.88, 41,514.65 and 7,416.88

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Solution

The fourth proportional to 27,679.88, 41,514.65 and 7,416.88 is: 11,123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,679.88 : 41,514.65 = 7,416.88 : x
  2. Step 2: Convert to fraction form
    27,679.88/41,514.65 = 7,416.88/x
  3. Step 3: Cross multiply
    27,679.88x = 41,514.65 × 7,416.88
  4. Step 4: Simplify right side
    27,679.88x = 307,909,036.42
  5. Step 5: Solve for x
    x = 307,909,036.42/27,679.88
  6. Step 6: Final answer
    x = 11,123.93

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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.