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Finding the Fourth Proportional to 27,753, 38,299.28 and 15,177.72

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Solution

The fourth proportional to 27,753, 38,299.28 and 15,177.72 is: 20,945.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,753 : 38,299.28 = 15,177.72 : x
  2. Step 2: Convert to fraction form
    27,753/38,299.28 = 15,177.72/x
  3. Step 3: Cross multiply
    27,753x = 38,299.28 × 15,177.72
  4. Step 4: Simplify right side
    27,753x = 581,295,748.04
  5. Step 5: Solve for x
    x = 581,295,748.04/27,753
  6. Step 6: Final answer
    x = 20,945.33

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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.