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Finding the Fourth Proportional to 6,838.50, 10,248.22 and 5,171.25

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Solution

The fourth proportional to 6,838.50, 10,248.22 and 5,171.25 is: 7,749.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.50 : 10,248.22 = 5,171.25 : x
  2. Step 2: Convert to fraction form
    6,838.50/10,248.22 = 5,171.25/x
  3. Step 3: Cross multiply
    6,838.50x = 10,248.22 × 5,171.25
  4. Step 4: Simplify right side
    6,838.50x = 52,996,107.68
  5. Step 5: Solve for x
    x = 52,996,107.68/6,838.50
  6. Step 6: Final answer
    x = 7,749.67

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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.