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Finding the Fourth Proportional to 7,923, 10,933.74 and 4,611

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Solution

The fourth proportional to 7,923, 10,933.74 and 4,611 is: 6,363.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923 : 10,933.74 = 4,611 : x
  2. Step 2: Convert to fraction form
    7,923/10,933.74 = 4,611/x
  3. Step 3: Cross multiply
    7,923x = 10,933.74 × 4,611
  4. Step 4: Simplify right side
    7,923x = 50,415,475.14
  5. Step 5: Solve for x
    x = 50,415,475.14/7,923
  6. Step 6: Final answer
    x = 6,363.18

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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.