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Finding the Fourth Proportional to 6,783.30, 10,179 and 2,404.44

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Solution

The fourth proportional to 6,783.30, 10,179 and 2,404.44 is: 3,608.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.30 : 10,179 = 2,404.44 : x
  2. Step 2: Convert to fraction form
    6,783.30/10,179 = 2,404.44/x
  3. Step 3: Cross multiply
    6,783.30x = 10,179 × 2,404.44
  4. Step 4: Simplify right side
    6,783.30x = 24,474,794.76
  5. Step 5: Solve for x
    x = 24,474,794.76/6,783.30
  6. Step 6: Final answer
    x = 3,608.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.