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Finding the Fourth Proportional to 6,097, 8,414.22 and 3,444.34

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Solution

The fourth proportional to 6,097, 8,414.22 and 3,444.34 is: 4,753.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097 : 8,414.22 = 3,444.34 : x
  2. Step 2: Convert to fraction form
    6,097/8,414.22 = 3,444.34/x
  3. Step 3: Cross multiply
    6,097x = 8,414.22 × 3,444.34
  4. Step 4: Simplify right side
    6,097x = 28,981,434.51
  5. Step 5: Solve for x
    x = 28,981,434.51/6,097
  6. Step 6: Final answer
    x = 4,753.39

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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.