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Finding the Fourth Proportional to 7,922.44, 11,883.80 and 2,994.40

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Solution

The fourth proportional to 7,922.44, 11,883.80 and 2,994.40 is: 4,491.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.44 : 11,883.80 = 2,994.40 : x
  2. Step 2: Convert to fraction form
    7,922.44/11,883.80 = 2,994.40/x
  3. Step 3: Cross multiply
    7,922.44x = 11,883.80 × 2,994.40
  4. Step 4: Simplify right side
    7,922.44x = 35,584,850.72
  5. Step 5: Solve for x
    x = 35,584,850.72/7,922.44
  6. Step 6: Final answer
    x = 4,491.65

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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.