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Finding the Fourth Proportional to 12,101.70, 18,144.23 and 6,167.10

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Solution

The fourth proportional to 12,101.70, 18,144.23 and 6,167.10 is: 9,246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.70 : 18,144.23 = 6,167.10 : x
  2. Step 2: Convert to fraction form
    12,101.70/18,144.23 = 6,167.10/x
  3. Step 3: Cross multiply
    12,101.70x = 18,144.23 × 6,167.10
  4. Step 4: Simplify right side
    12,101.70x = 111,897,250.00
  5. Step 5: Solve for x
    x = 111,897,250.00/12,101.70
  6. Step 6: Final answer
    x = 9,246.41

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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.