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Finding the Fourth Proportional to 6,961.62, 9,606.99 and 3,774.93

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Solution

The fourth proportional to 6,961.62, 9,606.99 and 3,774.93 is: 5,209.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.62 : 9,606.99 = 3,774.93 : x
  2. Step 2: Convert to fraction form
    6,961.62/9,606.99 = 3,774.93/x
  3. Step 3: Cross multiply
    6,961.62x = 9,606.99 × 3,774.93
  4. Step 4: Simplify right side
    6,961.62x = 36,265,714.76
  5. Step 5: Solve for x
    x = 36,265,714.76/6,961.62
  6. Step 6: Final answer
    x = 5,209.38

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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.