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Finding the Fourth Proportional to 6,569.60, 9,855.30 and 2,186

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Solution

The fourth proportional to 6,569.60, 9,855.30 and 2,186 is: 3,279.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.60 : 9,855.30 = 2,186 : x
  2. Step 2: Convert to fraction form
    6,569.60/9,855.30 = 2,186/x
  3. Step 3: Cross multiply
    6,569.60x = 9,855.30 × 2,186
  4. Step 4: Simplify right side
    6,569.60x = 21,543,685.80
  5. Step 5: Solve for x
    x = 21,543,685.80/6,569.60
  6. Step 6: Final answer
    x = 3,279.30

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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.