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Finding the Fourth Proportional to 27,735, 38,274.66 and 15,160.02

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Solution

The fourth proportional to 27,735, 38,274.66 and 15,160.02 is: 20,921.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,735 : 38,274.66 = 15,160.02 : x
  2. Step 2: Convert to fraction form
    27,735/38,274.66 = 15,160.02/x
  3. Step 3: Cross multiply
    27,735x = 38,274.66 × 15,160.02
  4. Step 4: Simplify right side
    27,735x = 580,244,611.09
  5. Step 5: Solve for x
    x = 580,244,611.09/27,735
  6. Step 6: Final answer
    x = 20,921.02

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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.