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Finding the Fourth Proportional to 6,896.62, 10,344.94 and 1,702.50

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Solution

The fourth proportional to 6,896.62, 10,344.94 and 1,702.50 is: 2,553.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.62 : 10,344.94 = 1,702.50 : x
  2. Step 2: Convert to fraction form
    6,896.62/10,344.94 = 1,702.50/x
  3. Step 3: Cross multiply
    6,896.62x = 10,344.94 × 1,702.50
  4. Step 4: Simplify right side
    6,896.62x = 17,612,260.35
  5. Step 5: Solve for x
    x = 17,612,260.35/6,896.62
  6. Step 6: Final answer
    x = 2,553.75

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Double scale
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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.