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Finding the Fourth Proportional to 6,142.42, 8,476 and 3,416.43

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Solution

The fourth proportional to 6,142.42, 8,476 and 3,416.43 is: 4,714.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.42 : 8,476 = 3,416.43 : x
  2. Step 2: Convert to fraction form
    6,142.42/8,476 = 3,416.43/x
  3. Step 3: Cross multiply
    6,142.42x = 8,476 × 3,416.43
  4. Step 4: Simplify right side
    6,142.42x = 28,957,660.68
  5. Step 5: Solve for x
    x = 28,957,660.68/6,142.42
  6. Step 6: Final answer
    x = 4,714.37

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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.