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Finding the Fourth Proportional to 6,164.86, 8,508 and 3,512.14

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Solution

The fourth proportional to 6,164.86, 8,508 and 3,512.14 is: 4,847.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.86 : 8,508 = 3,512.14 : x
  2. Step 2: Convert to fraction form
    6,164.86/8,508 = 3,512.14/x
  3. Step 3: Cross multiply
    6,164.86x = 8,508 × 3,512.14
  4. Step 4: Simplify right side
    6,164.86x = 29,881,287.12
  5. Step 5: Solve for x
    x = 29,881,287.12/6,164.86
  6. Step 6: Final answer
    x = 4,847.03

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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.