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Finding the Fourth Proportional to 7,103.50, 10,656.77 and 2,173.50

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Solution

The fourth proportional to 7,103.50, 10,656.77 and 2,173.50 is: 3,260.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.50 : 10,656.77 = 2,173.50 : x
  2. Step 2: Convert to fraction form
    7,103.50/10,656.77 = 2,173.50/x
  3. Step 3: Cross multiply
    7,103.50x = 10,656.77 × 2,173.50
  4. Step 4: Simplify right side
    7,103.50x = 23,162,478.73
  5. Step 5: Solve for x
    x = 23,162,478.73/7,103.50
  6. Step 6: Final answer
    x = 3,260.71

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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.