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Finding the Fourth Proportional to 7,396.84, 11,097.06 and 6,789.34

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Solution

The fourth proportional to 7,396.84, 11,097.06 and 6,789.34 is: 10,185.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,396.84 : 11,097.06 = 6,789.34 : x
  2. Step 2: Convert to fraction form
    7,396.84/11,097.06 = 6,789.34/x
  3. Step 3: Cross multiply
    7,396.84x = 11,097.06 × 6,789.34
  4. Step 4: Simplify right side
    7,396.84x = 75,341,713.34
  5. Step 5: Solve for x
    x = 75,341,713.34/7,396.84
  6. Step 6: Final answer
    x = 10,185.66

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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.