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Finding the Fourth Proportional to 3,307.86, 4,961.79 and 967.97

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Solution

The fourth proportional to 3,307.86, 4,961.79 and 967.97 is: 1,451.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.86 : 4,961.79 = 967.97 : x
  2. Step 2: Convert to fraction form
    3,307.86/4,961.79 = 967.97/x
  3. Step 3: Cross multiply
    3,307.86x = 4,961.79 × 967.97
  4. Step 4: Simplify right side
    3,307.86x = 4,802,876.27
  5. Step 5: Solve for x
    x = 4,802,876.27/3,307.86
  6. Step 6: Final answer
    x = 1,451.96

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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.