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Finding the Fourth Proportional to 6,563.98, 9,837.47 and 2,666.26

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Solution

The fourth proportional to 6,563.98, 9,837.47 and 2,666.26 is: 3,995.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.98 : 9,837.47 = 2,666.26 : x
  2. Step 2: Convert to fraction form
    6,563.98/9,837.47 = 2,666.26/x
  3. Step 3: Cross multiply
    6,563.98x = 9,837.47 × 2,666.26
  4. Step 4: Simplify right side
    6,563.98x = 26,229,239.43
  5. Step 5: Solve for x
    x = 26,229,239.43/6,563.98
  6. Step 6: Final answer
    x = 3,995.94

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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.