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Finding the Fourth Proportional to 27,761, 38,310.26 and 15,185.64

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Solution

The fourth proportional to 27,761, 38,310.26 and 15,185.64 is: 20,956.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,761 : 38,310.26 = 15,185.64 : x
  2. Step 2: Convert to fraction form
    27,761/38,310.26 = 15,185.64/x
  3. Step 3: Cross multiply
    27,761x = 38,310.26 × 15,185.64
  4. Step 4: Simplify right side
    27,761x = 581,765,816.67
  5. Step 5: Solve for x
    x = 581,765,816.67/27,761
  6. Step 6: Final answer
    x = 20,956.23

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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.