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Finding the Fourth Proportional to 14,801.50, 22,202.25 and 3,857.50

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Solution

The fourth proportional to 14,801.50, 22,202.25 and 3,857.50 is: 5,786.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,801.50 : 22,202.25 = 3,857.50 : x
  2. Step 2: Convert to fraction form
    14,801.50/22,202.25 = 3,857.50/x
  3. Step 3: Cross multiply
    14,801.50x = 22,202.25 × 3,857.50
  4. Step 4: Simplify right side
    14,801.50x = 85,645,179.38
  5. Step 5: Solve for x
    x = 85,645,179.38/14,801.50
  6. Step 6: Final answer
    x = 5,786.25

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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.