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Finding the Fourth Proportional to 6,467.48, 9,702.74 and 2,084.97

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Solution

The fourth proportional to 6,467.48, 9,702.74 and 2,084.97 is: 3,127.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.48 : 9,702.74 = 2,084.97 : x
  2. Step 2: Convert to fraction form
    6,467.48/9,702.74 = 2,084.97/x
  3. Step 3: Cross multiply
    6,467.48x = 9,702.74 × 2,084.97
  4. Step 4: Simplify right side
    6,467.48x = 20,229,911.39
  5. Step 5: Solve for x
    x = 20,229,911.39/6,467.48
  6. Step 6: Final answer
    x = 3,127.95

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1.5x scale

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.