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Finding the Fourth Proportional to 11,962, 16,507.56 and 6,994.96

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Solution

The fourth proportional to 11,962, 16,507.56 and 6,994.96 is: 9,653.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,962 : 16,507.56 = 6,994.96 : x
  2. Step 2: Convert to fraction form
    11,962/16,507.56 = 6,994.96/x
  3. Step 3: Cross multiply
    11,962x = 16,507.56 × 6,994.96
  4. Step 4: Simplify right side
    11,962x = 115,469,721.90
  5. Step 5: Solve for x
    x = 115,469,721.90/11,962
  6. Step 6: Final answer
    x = 9,653.04

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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.