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Finding the Fourth Proportional to 27,404.72, 41,103.86 and 7,684.86

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Solution

The fourth proportional to 27,404.72, 41,103.86 and 7,684.86 is: 11,526.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,404.72 : 41,103.86 = 7,684.86 : x
  2. Step 2: Convert to fraction form
    27,404.72/41,103.86 = 7,684.86/x
  3. Step 3: Cross multiply
    27,404.72x = 41,103.86 × 7,684.86
  4. Step 4: Simplify right side
    27,404.72x = 315,877,371.14
  5. Step 5: Solve for x
    x = 315,877,371.14/27,404.72
  6. Step 6: Final answer
    x = 11,526.39

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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.