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Finding the Fourth Proportional to 6,086.50, 9,128.70 and 1,702.78

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Solution

The fourth proportional to 6,086.50, 9,128.70 and 1,702.78 is: 2,553.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.50 : 9,128.70 = 1,702.78 : x
  2. Step 2: Convert to fraction form
    6,086.50/9,128.70 = 1,702.78/x
  3. Step 3: Cross multiply
    6,086.50x = 9,128.70 × 1,702.78
  4. Step 4: Simplify right side
    6,086.50x = 15,544,167.79
  5. Step 5: Solve for x
    x = 15,544,167.79/6,086.50
  6. Step 6: Final answer
    x = 2,553.88

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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.