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Finding the Fourth Proportional to 6,817.64, 10,228.62 and 2,435

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Solution

The fourth proportional to 6,817.64, 10,228.62 and 2,435 is: 3,653.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.64 : 10,228.62 = 2,435 : x
  2. Step 2: Convert to fraction form
    6,817.64/10,228.62 = 2,435/x
  3. Step 3: Cross multiply
    6,817.64x = 10,228.62 × 2,435
  4. Step 4: Simplify right side
    6,817.64x = 24,906,689.70
  5. Step 5: Solve for x
    x = 24,906,689.70/6,817.64
  6. Step 6: Final answer
    x = 3,653.27

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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.