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Finding the Fourth Proportional to 18,857.94, 28,261.38 and 7,164.78

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Solution

The fourth proportional to 18,857.94, 28,261.38 and 7,164.78 is: 10,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,857.94 : 28,261.38 = 7,164.78 : x
  2. Step 2: Convert to fraction form
    18,857.94/28,261.38 = 7,164.78/x
  3. Step 3: Cross multiply
    18,857.94x = 28,261.38 × 7,164.78
  4. Step 4: Simplify right side
    18,857.94x = 202,486,570.20
  5. Step 5: Solve for x
    x = 202,486,570.20/18,857.94
  6. Step 6: Final answer
    x = 10,737.47

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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.