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Finding the Fourth Proportional to 12,137.20, 18,205.80 and 7,204.30

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Solution

The fourth proportional to 12,137.20, 18,205.80 and 7,204.30 is: 10,806.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.20 : 18,205.80 = 7,204.30 : x
  2. Step 2: Convert to fraction form
    12,137.20/18,205.80 = 7,204.30/x
  3. Step 3: Cross multiply
    12,137.20x = 18,205.80 × 7,204.30
  4. Step 4: Simplify right side
    12,137.20x = 131,160,044.94
  5. Step 5: Solve for x
    x = 131,160,044.94/12,137.20
  6. Step 6: Final answer
    x = 10,806.45

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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.