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Finding the Fourth Proportional to 12,136.80, 18,194.40 and 7,201.20

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Solution

The fourth proportional to 12,136.80, 18,194.40 and 7,201.20 is: 10,795.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.80 : 18,194.40 = 7,201.20 : x
  2. Step 2: Convert to fraction form
    12,136.80/18,194.40 = 7,201.20/x
  3. Step 3: Cross multiply
    12,136.80x = 18,194.40 × 7,201.20
  4. Step 4: Simplify right side
    12,136.80x = 131,021,513.28
  5. Step 5: Solve for x
    x = 131,021,513.28/12,136.80
  6. Step 6: Final answer
    x = 10,795.39

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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.