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Finding the Fourth Proportional to 27,478.73, 41,213.48 and 7,752.66

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Solution

The fourth proportional to 27,478.73, 41,213.48 and 7,752.66 is: 11,627.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,478.73 : 41,213.48 = 7,752.66 : x
  2. Step 2: Convert to fraction form
    27,478.73/41,213.48 = 7,752.66/x
  3. Step 3: Cross multiply
    27,478.73x = 41,213.48 × 7,752.66
  4. Step 4: Simplify right side
    27,478.73x = 319,514,059.09
  5. Step 5: Solve for x
    x = 319,514,059.09/27,478.73
  6. Step 6: Final answer
    x = 11,627.69

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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.