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Finding the Fourth Proportional to 6,681.26, 10,027.94 and 3,563.88

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Solution

The fourth proportional to 6,681.26, 10,027.94 and 3,563.88 is: 5,349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.26 : 10,027.94 = 3,563.88 : x
  2. Step 2: Convert to fraction form
    6,681.26/10,027.94 = 3,563.88/x
  3. Step 3: Cross multiply
    6,681.26x = 10,027.94 × 3,563.88
  4. Step 4: Simplify right side
    6,681.26x = 35,738,374.81
  5. Step 5: Solve for x
    x = 35,738,374.81/6,681.26
  6. Step 6: Final answer
    x = 5,349.05

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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.