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Finding the Fourth Proportional to 7,907.70, 11,863.44 and 2,361.50

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Solution

The fourth proportional to 7,907.70, 11,863.44 and 2,361.50 is: 3,542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907.70 : 11,863.44 = 2,361.50 : x
  2. Step 2: Convert to fraction form
    7,907.70/11,863.44 = 2,361.50/x
  3. Step 3: Cross multiply
    7,907.70x = 11,863.44 × 2,361.50
  4. Step 4: Simplify right side
    7,907.70x = 28,015,454.24
  5. Step 5: Solve for x
    x = 28,015,454.24/7,907.70
  6. Step 6: Final answer
    x = 3,542.81

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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.