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Finding the Fourth Proportional to 6,306, 8,702.44 and 3,511.44

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Solution

The fourth proportional to 6,306, 8,702.44 and 3,511.44 is: 4,845.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306 : 8,702.44 = 3,511.44 : x
  2. Step 2: Convert to fraction form
    6,306/8,702.44 = 3,511.44/x
  3. Step 3: Cross multiply
    6,306x = 8,702.44 × 3,511.44
  4. Step 4: Simplify right side
    6,306x = 30,558,095.91
  5. Step 5: Solve for x
    x = 30,558,095.91/6,306
  6. Step 6: Final answer
    x = 4,845.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.