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Finding the Fourth Proportional to 6,346.42, 8,680.37 and 6,244.36

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Solution

The fourth proportional to 6,346.42, 8,680.37 and 6,244.36 is: 8,540.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.42 : 8,680.37 = 6,244.36 : x
  2. Step 2: Convert to fraction form
    6,346.42/8,680.37 = 6,244.36/x
  3. Step 3: Cross multiply
    6,346.42x = 8,680.37 × 6,244.36
  4. Step 4: Simplify right side
    6,346.42x = 54,203,302.29
  5. Step 5: Solve for x
    x = 54,203,302.29/6,346.42
  6. Step 6: Final answer
    x = 8,540.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.