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Finding the Fourth Proportional to 6,838.76, 10,250.98 and 3,873.50

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Solution

The fourth proportional to 6,838.76, 10,250.98 and 3,873.50 is: 5,806.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.76 : 10,250.98 = 3,873.50 : x
  2. Step 2: Convert to fraction form
    6,838.76/10,250.98 = 3,873.50/x
  3. Step 3: Cross multiply
    6,838.76x = 10,250.98 × 3,873.50
  4. Step 4: Simplify right side
    6,838.76x = 39,707,171.03
  5. Step 5: Solve for x
    x = 39,707,171.03/6,838.76
  6. Step 6: Final answer
    x = 5,806.19

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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.