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Finding the Fourth Proportional to 6,896.66, 10,344.99 and 1,702.54

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Solution

The fourth proportional to 6,896.66, 10,344.99 and 1,702.54 is: 2,553.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.66 : 10,344.99 = 1,702.54 : x
  2. Step 2: Convert to fraction form
    6,896.66/10,344.99 = 1,702.54/x
  3. Step 3: Cross multiply
    6,896.66x = 10,344.99 × 1,702.54
  4. Step 4: Simplify right side
    6,896.66x = 17,612,707.55
  5. Step 5: Solve for x
    x = 17,612,707.55/6,896.66
  6. Step 6: Final answer
    x = 2,553.80

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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.