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Finding the Fourth Proportional to 6,876.75, 10,311.71 and 6,376.47

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Solution

The fourth proportional to 6,876.75, 10,311.71 and 6,376.47 is: 9,561.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.75 : 10,311.71 = 6,376.47 : x
  2. Step 2: Convert to fraction form
    6,876.75/10,311.71 = 6,376.47/x
  3. Step 3: Cross multiply
    6,876.75x = 10,311.71 × 6,376.47
  4. Step 4: Simplify right side
    6,876.75x = 65,752,296.92
  5. Step 5: Solve for x
    x = 65,752,296.92/6,876.75
  6. Step 6: Final answer
    x = 9,561.54

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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.