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Finding the Fourth Proportional to 6,819.42, 9,415.53 and 5,251.26

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Solution

The fourth proportional to 6,819.42, 9,415.53 and 5,251.26 is: 7,250.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.42 : 9,415.53 = 5,251.26 : x
  2. Step 2: Convert to fraction form
    6,819.42/9,415.53 = 5,251.26/x
  3. Step 3: Cross multiply
    6,819.42x = 9,415.53 × 5,251.26
  4. Step 4: Simplify right side
    6,819.42x = 49,443,396.07
  5. Step 5: Solve for x
    x = 49,443,396.07/6,819.42
  6. Step 6: Final answer
    x = 7,250.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.