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Finding the Fourth Proportional to 11,137.80, 16,706.70 and 7,201.20

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Solution

The fourth proportional to 11,137.80, 16,706.70 and 7,201.20 is: 10,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.80 : 16,706.70 = 7,201.20 : x
  2. Step 2: Convert to fraction form
    11,137.80/16,706.70 = 7,201.20/x
  3. Step 3: Cross multiply
    11,137.80x = 16,706.70 × 7,201.20
  4. Step 4: Simplify right side
    11,137.80x = 120,308,288.04
  5. Step 5: Solve for x
    x = 120,308,288.04/11,137.80
  6. Step 6: Final answer
    x = 10,801.80

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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.