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Finding the Fourth Proportional to 6,494, 8,963.12 and 4,135.60

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Solution

The fourth proportional to 6,494, 8,963.12 and 4,135.60 is: 5,708.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494 : 8,963.12 = 4,135.60 : x
  2. Step 2: Convert to fraction form
    6,494/8,963.12 = 4,135.60/x
  3. Step 3: Cross multiply
    6,494x = 8,963.12 × 4,135.60
  4. Step 4: Simplify right side
    6,494x = 37,067,879.07
  5. Step 5: Solve for x
    x = 37,067,879.07/6,494
  6. Step 6: Final answer
    x = 5,708.02

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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.