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Finding the Fourth Proportional to 6,804.47, 10,201.91 and 3,101.60

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Solution

The fourth proportional to 6,804.47, 10,201.91 and 3,101.60 is: 4,650.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.47 : 10,201.91 = 3,101.60 : x
  2. Step 2: Convert to fraction form
    6,804.47/10,201.91 = 3,101.60/x
  3. Step 3: Cross multiply
    6,804.47x = 10,201.91 × 3,101.60
  4. Step 4: Simplify right side
    6,804.47x = 31,642,177.54
  5. Step 5: Solve for x
    x = 31,642,177.54/6,804.47
  6. Step 6: Final answer
    x = 4,650.21

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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.