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Finding the Fourth Proportional to 6,871.91, 10,300.94 and 2,714.87

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Solution

The fourth proportional to 6,871.91, 10,300.94 and 2,714.87 is: 4,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.91 : 10,300.94 = 2,714.87 : x
  2. Step 2: Convert to fraction form
    6,871.91/10,300.94 = 2,714.87/x
  3. Step 3: Cross multiply
    6,871.91x = 10,300.94 × 2,714.87
  4. Step 4: Simplify right side
    6,871.91x = 27,965,668.26
  5. Step 5: Solve for x
    x = 27,965,668.26/6,871.91
  6. Step 6: Final answer
    x = 4,069.57

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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.