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Finding the Fourth Proportional to 6,800.35, 9,384.96 and 3,968.41

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Solution

The fourth proportional to 6,800.35, 9,384.96 and 3,968.41 is: 5,476.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.35 : 9,384.96 = 3,968.41 : x
  2. Step 2: Convert to fraction form
    6,800.35/9,384.96 = 3,968.41/x
  3. Step 3: Cross multiply
    6,800.35x = 9,384.96 × 3,968.41
  4. Step 4: Simplify right side
    6,800.35x = 37,243,369.11
  5. Step 5: Solve for x
    x = 37,243,369.11/6,800.35
  6. Step 6: Final answer
    x = 5,476.68

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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.