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Finding the Fourth Proportional to 6,166.34, 8,509.38 and 3,514.60

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Solution

The fourth proportional to 6,166.34, 8,509.38 and 3,514.60 is: 4,850.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.34 : 8,509.38 = 3,514.60 : x
  2. Step 2: Convert to fraction form
    6,166.34/8,509.38 = 3,514.60/x
  3. Step 3: Cross multiply
    6,166.34x = 8,509.38 × 3,514.60
  4. Step 4: Simplify right side
    6,166.34x = 29,907,066.95
  5. Step 5: Solve for x
    x = 29,907,066.95/6,166.34
  6. Step 6: Final answer
    x = 4,850.05

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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.