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Finding the Fourth Proportional to 6,687.78, 10,031.30 and 2,305.14

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Solution

The fourth proportional to 6,687.78, 10,031.30 and 2,305.14 is: 3,457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.78 : 10,031.30 = 2,305.14 : x
  2. Step 2: Convert to fraction form
    6,687.78/10,031.30 = 2,305.14/x
  3. Step 3: Cross multiply
    6,687.78x = 10,031.30 × 2,305.14
  4. Step 4: Simplify right side
    6,687.78x = 23,123,550.88
  5. Step 5: Solve for x
    x = 23,123,550.88/6,687.78
  6. Step 6: Final answer
    x = 3,457.58

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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.