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Finding the Fourth Proportional to 14,164.01, 21,246 and 6,745.97

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Solution

The fourth proportional to 14,164.01, 21,246 and 6,745.97 is: 10,118.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.01 : 21,246 = 6,745.97 : x
  2. Step 2: Convert to fraction form
    14,164.01/21,246 = 6,745.97/x
  3. Step 3: Cross multiply
    14,164.01x = 21,246 × 6,745.97
  4. Step 4: Simplify right side
    14,164.01x = 143,324,878.62
  5. Step 5: Solve for x
    x = 143,324,878.62/14,164.01
  6. Step 6: Final answer
    x = 10,118.95

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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.