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Finding the Fourth Proportional to 9,994.87, 13,794.70 and 5,961.95

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Solution

The fourth proportional to 9,994.87, 13,794.70 and 5,961.95 is: 8,228.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.87 : 13,794.70 = 5,961.95 : x
  2. Step 2: Convert to fraction form
    9,994.87/13,794.70 = 5,961.95/x
  3. Step 3: Cross multiply
    9,994.87x = 13,794.70 × 5,961.95
  4. Step 4: Simplify right side
    9,994.87x = 82,243,227.79
  5. Step 5: Solve for x
    x = 82,243,227.79/9,994.87
  6. Step 6: Final answer
    x = 8,228.55

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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.