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Finding the Fourth Proportional to 13,395.78, 20,097 and 9,454.73

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Solution

The fourth proportional to 13,395.78, 20,097 and 9,454.73 is: 14,184.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,395.78 : 20,097 = 9,454.73 : x
  2. Step 2: Convert to fraction form
    13,395.78/20,097 = 9,454.73/x
  3. Step 3: Cross multiply
    13,395.78x = 20,097 × 9,454.73
  4. Step 4: Simplify right side
    13,395.78x = 190,011,608.33
  5. Step 5: Solve for x
    x = 190,011,608.33/13,395.78
  6. Step 6: Final answer
    x = 14,184.44

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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.