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Finding the Fourth Proportional to 27,539, 38,003.54 and 14,963.80

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Solution

The fourth proportional to 27,539, 38,003.54 and 14,963.80 is: 20,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,539 : 38,003.54 = 14,963.80 : x
  2. Step 2: Convert to fraction form
    27,539/38,003.54 = 14,963.80/x
  3. Step 3: Cross multiply
    27,539x = 38,003.54 × 14,963.80
  4. Step 4: Simplify right side
    27,539x = 568,677,371.85
  5. Step 5: Solve for x
    x = 568,677,371.85/27,539
  6. Step 6: Final answer
    x = 20,649.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.