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Finding the Fourth Proportional to 6,678.96, 9,216.84 and 3,694.68

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Solution

The fourth proportional to 6,678.96, 9,216.84 and 3,694.68 is: 5,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.96 : 9,216.84 = 3,694.68 : x
  2. Step 2: Convert to fraction form
    6,678.96/9,216.84 = 3,694.68/x
  3. Step 3: Cross multiply
    6,678.96x = 9,216.84 × 3,694.68
  4. Step 4: Simplify right side
    6,678.96x = 34,053,274.41
  5. Step 5: Solve for x
    x = 34,053,274.41/6,678.96
  6. Step 6: Final answer
    x = 5,098.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.