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Finding the Fourth Proportional to 6,563.90, 9,845.98 and 2,665.64

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Solution

The fourth proportional to 6,563.90, 9,845.98 and 2,665.64 is: 3,998.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.90 : 9,845.98 = 2,665.64 : x
  2. Step 2: Convert to fraction form
    6,563.90/9,845.98 = 2,665.64/x
  3. Step 3: Cross multiply
    6,563.90x = 9,845.98 × 2,665.64
  4. Step 4: Simplify right side
    6,563.90x = 26,245,838.13
  5. Step 5: Solve for x
    x = 26,245,838.13/6,563.90
  6. Step 6: Final answer
    x = 3,998.51

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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.