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Finding the Fourth Proportional to 13,897.31, 20,793.68 and 9,745.43

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Solution

The fourth proportional to 13,897.31, 20,793.68 and 9,745.43 is: 14,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.31 : 20,793.68 = 9,745.43 : x
  2. Step 2: Convert to fraction form
    13,897.31/20,793.68 = 9,745.43/x
  3. Step 3: Cross multiply
    13,897.31x = 20,793.68 × 9,745.43
  4. Step 4: Simplify right side
    13,897.31x = 202,643,429.23
  5. Step 5: Solve for x
    x = 202,643,429.23/13,897.31
  6. Step 6: Final answer
    x = 14,581.48

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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.