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Finding the Fourth Proportional to 38,197.80, 57,304.80 and 11,541.60

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Solution

The fourth proportional to 38,197.80, 57,304.80 and 11,541.60 is: 17,314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,197.80 : 57,304.80 = 11,541.60 : x
  2. Step 2: Convert to fraction form
    38,197.80/57,304.80 = 11,541.60/x
  3. Step 3: Cross multiply
    38,197.80x = 57,304.80 × 11,541.60
  4. Step 4: Simplify right side
    38,197.80x = 661,389,079.68
  5. Step 5: Solve for x
    x = 661,389,079.68/38,197.80
  6. Step 6: Final answer
    x = 17,314.85

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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.