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Finding the Fourth Proportional to 6,234.08, 8,602.89 and 3,401.42

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Solution

The fourth proportional to 6,234.08, 8,602.89 and 3,401.42 is: 4,693.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.08 : 8,602.89 = 3,401.42 : x
  2. Step 2: Convert to fraction form
    6,234.08/8,602.89 = 3,401.42/x
  3. Step 3: Cross multiply
    6,234.08x = 8,602.89 × 3,401.42
  4. Step 4: Simplify right side
    6,234.08x = 29,261,999.09
  5. Step 5: Solve for x
    x = 29,261,999.09/6,234.08
  6. Step 6: Final answer
    x = 4,693.88

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1.5x scale

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.