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Finding the Fourth Proportional to 6,804.26, 10,197.21 and 5,155.64

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Solution

The fourth proportional to 6,804.26, 10,197.21 and 5,155.64 is: 7,726.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.26 : 10,197.21 = 5,155.64 : x
  2. Step 2: Convert to fraction form
    6,804.26/10,197.21 = 5,155.64/x
  3. Step 3: Cross multiply
    6,804.26x = 10,197.21 × 5,155.64
  4. Step 4: Simplify right side
    6,804.26x = 52,573,143.76
  5. Step 5: Solve for x
    x = 52,573,143.76/6,804.26
  6. Step 6: Final answer
    x = 7,726.50

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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.