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Finding the Fourth Proportional to 6,361.32, 9,545.82 and 2,257

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Solution

The fourth proportional to 6,361.32, 9,545.82 and 2,257 is: 3,386.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.32 : 9,545.82 = 2,257 : x
  2. Step 2: Convert to fraction form
    6,361.32/9,545.82 = 2,257/x
  3. Step 3: Cross multiply
    6,361.32x = 9,545.82 × 2,257
  4. Step 4: Simplify right side
    6,361.32x = 21,544,915.74
  5. Step 5: Solve for x
    x = 21,544,915.74/6,361.32
  6. Step 6: Final answer
    x = 3,386.86

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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.