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Finding the Fourth Proportional to 6,099, 8,416.62 and 3,304.50

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Solution

The fourth proportional to 6,099, 8,416.62 and 3,304.50 is: 4,560.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099 : 8,416.62 = 3,304.50 : x
  2. Step 2: Convert to fraction form
    6,099/8,416.62 = 3,304.50/x
  3. Step 3: Cross multiply
    6,099x = 8,416.62 × 3,304.50
  4. Step 4: Simplify right side
    6,099x = 27,812,720.79
  5. Step 5: Solve for x
    x = 27,812,720.79/6,099
  6. Step 6: Final answer
    x = 4,560.21

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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.