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Finding the Fourth Proportional to 6,859.50, 10,276.10 and 4,077.75

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Solution

The fourth proportional to 6,859.50, 10,276.10 and 4,077.75 is: 6,108.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.50 : 10,276.10 = 4,077.75 : x
  2. Step 2: Convert to fraction form
    6,859.50/10,276.10 = 4,077.75/x
  3. Step 3: Cross multiply
    6,859.50x = 10,276.10 × 4,077.75
  4. Step 4: Simplify right side
    6,859.50x = 41,903,376.97
  5. Step 5: Solve for x
    x = 41,903,376.97/6,859.50
  6. Step 6: Final answer
    x = 6,108.81

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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.