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Finding the Fourth Proportional to 7,137.93, 10,702.98 and 2,206.20

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Solution

The fourth proportional to 7,137.93, 10,702.98 and 2,206.20 is: 3,308.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.93 : 10,702.98 = 2,206.20 : x
  2. Step 2: Convert to fraction form
    7,137.93/10,702.98 = 2,206.20/x
  3. Step 3: Cross multiply
    7,137.93x = 10,702.98 × 2,206.20
  4. Step 4: Simplify right side
    7,137.93x = 23,612,914.48
  5. Step 5: Solve for x
    x = 23,612,914.48/7,137.93
  6. Step 6: Final answer
    x = 3,308.09

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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.