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Finding the Fourth Proportional to 6,961.05, 9,592.11 and 6,468.96

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Solution

The fourth proportional to 6,961.05, 9,592.11 and 6,468.96 is: 8,914.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.05 : 9,592.11 = 6,468.96 : x
  2. Step 2: Convert to fraction form
    6,961.05/9,592.11 = 6,468.96/x
  3. Step 3: Cross multiply
    6,961.05x = 9,592.11 × 6,468.96
  4. Step 4: Simplify right side
    6,961.05x = 62,050,975.91
  5. Step 5: Solve for x
    x = 62,050,975.91/6,961.05
  6. Step 6: Final answer
    x = 8,914.03

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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.