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Finding the Fourth Proportional to 6,568.54, 9,855.52 and 3,643.36

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Solution

The fourth proportional to 6,568.54, 9,855.52 and 3,643.36 is: 5,466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.54 : 9,855.52 = 3,643.36 : x
  2. Step 2: Convert to fraction form
    6,568.54/9,855.52 = 3,643.36/x
  3. Step 3: Cross multiply
    6,568.54x = 9,855.52 × 3,643.36
  4. Step 4: Simplify right side
    6,568.54x = 35,907,207.35
  5. Step 5: Solve for x
    x = 35,907,207.35/6,568.54
  6. Step 6: Final answer
    x = 5,466.54

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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.