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Finding the Fourth Proportional to 6,175.98, 8,518.04 and 5,468.58

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Solution

The fourth proportional to 6,175.98, 8,518.04 and 5,468.58 is: 7,542.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.98 : 8,518.04 = 5,468.58 : x
  2. Step 2: Convert to fraction form
    6,175.98/8,518.04 = 5,468.58/x
  3. Step 3: Cross multiply
    6,175.98x = 8,518.04 × 5,468.58
  4. Step 4: Simplify right side
    6,175.98x = 46,581,583.18
  5. Step 5: Solve for x
    x = 46,581,583.18/6,175.98
  6. Step 6: Final answer
    x = 7,542.38

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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.