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Finding the Fourth Proportional to 6,137.55, 9,208.01 and 2,189.70

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Solution

The fourth proportional to 6,137.55, 9,208.01 and 2,189.70 is: 3,285.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.55 : 9,208.01 = 2,189.70 : x
  2. Step 2: Convert to fraction form
    6,137.55/9,208.01 = 2,189.70/x
  3. Step 3: Cross multiply
    6,137.55x = 9,208.01 × 2,189.70
  4. Step 4: Simplify right side
    6,137.55x = 20,162,784.97
  5. Step 5: Solve for x
    x = 20,162,784.97/6,137.55
  6. Step 6: Final answer
    x = 3,285.15

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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.