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Finding the Fourth Proportional to 13,464.90, 20,201.40 and 7,227.90

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Solution

The fourth proportional to 13,464.90, 20,201.40 and 7,227.90 is: 10,844.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.90 : 20,201.40 = 7,227.90 : x
  2. Step 2: Convert to fraction form
    13,464.90/20,201.40 = 7,227.90/x
  3. Step 3: Cross multiply
    13,464.90x = 20,201.40 × 7,227.90
  4. Step 4: Simplify right side
    13,464.90x = 146,013,699.06
  5. Step 5: Solve for x
    x = 146,013,699.06/13,464.90
  6. Step 6: Final answer
    x = 10,844.02

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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.