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Finding the Fourth Proportional to 7,136.97, 10,701.61 and 2,205.29

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Solution

The fourth proportional to 7,136.97, 10,701.61 and 2,205.29 is: 3,306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.97 : 10,701.61 = 2,205.29 : x
  2. Step 2: Convert to fraction form
    7,136.97/10,701.61 = 2,205.29/x
  3. Step 3: Cross multiply
    7,136.97x = 10,701.61 × 2,205.29
  4. Step 4: Simplify right side
    7,136.97x = 23,600,094.50
  5. Step 5: Solve for x
    x = 23,600,094.50/7,136.97
  6. Step 6: Final answer
    x = 3,306.74

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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.