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Finding the Fourth Proportional to 6,980.31, 9,633.11 and 3,836.61

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Solution

The fourth proportional to 6,980.31, 9,633.11 and 3,836.61 is: 5,294.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.31 : 9,633.11 = 3,836.61 : x
  2. Step 2: Convert to fraction form
    6,980.31/9,633.11 = 3,836.61/x
  3. Step 3: Cross multiply
    6,980.31x = 9,633.11 × 3,836.61
  4. Step 4: Simplify right side
    6,980.31x = 36,958,466.97
  5. Step 5: Solve for x
    x = 36,958,466.97/6,980.31
  6. Step 6: Final answer
    x = 5,294.67

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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.