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Finding the Fourth Proportional to 6,796.47, 10,199.04 and 3,099.07

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Solution

The fourth proportional to 6,796.47, 10,199.04 and 3,099.07 is: 4,650.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.47 : 10,199.04 = 3,099.07 : x
  2. Step 2: Convert to fraction form
    6,796.47/10,199.04 = 3,099.07/x
  3. Step 3: Cross multiply
    6,796.47x = 10,199.04 × 3,099.07
  4. Step 4: Simplify right side
    6,796.47x = 31,607,538.89
  5. Step 5: Solve for x
    x = 31,607,538.89/6,796.47
  6. Step 6: Final answer
    x = 4,650.58

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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.