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Finding the Fourth Proportional to 6,819.88, 10,238.94 and 6,598.45

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Solution

The fourth proportional to 6,819.88, 10,238.94 and 6,598.45 is: 9,906.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.88 : 10,238.94 = 6,598.45 : x
  2. Step 2: Convert to fraction form
    6,819.88/10,238.94 = 6,598.45/x
  3. Step 3: Cross multiply
    6,819.88x = 10,238.94 × 6,598.45
  4. Step 4: Simplify right side
    6,819.88x = 67,561,133.64
  5. Step 5: Solve for x
    x = 67,561,133.64/6,819.88
  6. Step 6: Final answer
    x = 9,906.50

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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.