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Finding the Fourth Proportional to 6,168.15, 8,509.34 and 4,284.26

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Solution

The fourth proportional to 6,168.15, 8,509.34 and 4,284.26 is: 5,910.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168.15 : 8,509.34 = 4,284.26 : x
  2. Step 2: Convert to fraction form
    6,168.15/8,509.34 = 4,284.26/x
  3. Step 3: Cross multiply
    6,168.15x = 8,509.34 × 4,284.26
  4. Step 4: Simplify right side
    6,168.15x = 36,456,161.02
  5. Step 5: Solve for x
    x = 36,456,161.02/6,168.15
  6. Step 6: Final answer
    x = 5,910.39

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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.