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Finding the Fourth Proportional to 6,719.25, 9,251.38 and 6,096.47

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Solution

The fourth proportional to 6,719.25, 9,251.38 and 6,096.47 is: 8,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,719.25 : 9,251.38 = 6,096.47 : x
  2. Step 2: Convert to fraction form
    6,719.25/9,251.38 = 6,096.47/x
  3. Step 3: Cross multiply
    6,719.25x = 9,251.38 × 6,096.47
  4. Step 4: Simplify right side
    6,719.25x = 56,400,714.37
  5. Step 5: Solve for x
    x = 56,400,714.37/6,719.25
  6. Step 6: Final answer
    x = 8,393.91

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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.