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Finding the Fourth Proportional to 11,137.70, 16,707.06 and 6,203.62

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Solution

The fourth proportional to 11,137.70, 16,707.06 and 6,203.62 is: 9,305.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.70 : 16,707.06 = 6,203.62 : x
  2. Step 2: Convert to fraction form
    11,137.70/16,707.06 = 6,203.62/x
  3. Step 3: Cross multiply
    11,137.70x = 16,707.06 × 6,203.62
  4. Step 4: Simplify right side
    11,137.70x = 103,644,272.44
  5. Step 5: Solve for x
    x = 103,644,272.44/11,137.70
  6. Step 6: Final answer
    x = 9,305.71

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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.