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Finding the Fourth Proportional to 6,568.24, 9,853.80 and 2,186.32

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Solution

The fourth proportional to 6,568.24, 9,853.80 and 2,186.32 is: 3,279.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.24 : 9,853.80 = 2,186.32 : x
  2. Step 2: Convert to fraction form
    6,568.24/9,853.80 = 2,186.32/x
  3. Step 3: Cross multiply
    6,568.24x = 9,853.80 × 2,186.32
  4. Step 4: Simplify right side
    6,568.24x = 21,543,560.02
  5. Step 5: Solve for x
    x = 21,543,560.02/6,568.24
  6. Step 6: Final answer
    x = 3,279.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.