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Finding the Fourth Proportional to 6,469.50, 9,705.42 and 4,280.04

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Solution

The fourth proportional to 6,469.50, 9,705.42 and 4,280.04 is: 6,420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.50 : 9,705.42 = 4,280.04 : x
  2. Step 2: Convert to fraction form
    6,469.50/9,705.42 = 4,280.04/x
  3. Step 3: Cross multiply
    6,469.50x = 9,705.42 × 4,280.04
  4. Step 4: Simplify right side
    6,469.50x = 41,539,585.82
  5. Step 5: Solve for x
    x = 41,539,585.82/6,469.50
  6. Step 6: Final answer
    x = 6,420.83

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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.