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Finding the Fourth Proportional to 6,297.82, 9,446.88 and 2,787.08

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Solution

The fourth proportional to 6,297.82, 9,446.88 and 2,787.08 is: 4,180.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.82 : 9,446.88 = 2,787.08 : x
  2. Step 2: Convert to fraction form
    6,297.82/9,446.88 = 2,787.08/x
  3. Step 3: Cross multiply
    6,297.82x = 9,446.88 × 2,787.08
  4. Step 4: Simplify right side
    6,297.82x = 26,329,210.31
  5. Step 5: Solve for x
    x = 26,329,210.31/6,297.82
  6. Step 6: Final answer
    x = 4,180.69

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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.