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Finding the Fourth Proportional to 12,071.20, 18,098.70 and 5,834.20

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Solution

The fourth proportional to 12,071.20, 18,098.70 and 5,834.20 is: 8,747.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.20 : 18,098.70 = 5,834.20 : x
  2. Step 2: Convert to fraction form
    12,071.20/18,098.70 = 5,834.20/x
  3. Step 3: Cross multiply
    12,071.20x = 18,098.70 × 5,834.20
  4. Step 4: Simplify right side
    12,071.20x = 105,591,435.54
  5. Step 5: Solve for x
    x = 105,591,435.54/12,071.20
  6. Step 6: Final answer
    x = 8,747.39

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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.