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Finding the Fourth Proportional to 12,137.70, 18,206.55 and 7,204.80

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Solution

The fourth proportional to 12,137.70, 18,206.55 and 7,204.80 is: 10,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.70 : 18,206.55 = 7,204.80 : x
  2. Step 2: Convert to fraction form
    12,137.70/18,206.55 = 7,204.80/x
  3. Step 3: Cross multiply
    12,137.70x = 18,206.55 × 7,204.80
  4. Step 4: Simplify right side
    12,137.70x = 131,174,551.44
  5. Step 5: Solve for x
    x = 131,174,551.44/12,137.70
  6. Step 6: Final answer
    x = 10,807.20

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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.