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Finding the Fourth Proportional to 8,224, 12,323.64 and 4,933.44

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Solution

The fourth proportional to 8,224, 12,323.64 and 4,933.44 is: 7,392.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224 : 12,323.64 = 4,933.44 : x
  2. Step 2: Convert to fraction form
    8,224/12,323.64 = 4,933.44/x
  3. Step 3: Cross multiply
    8,224x = 12,323.64 × 4,933.44
  4. Step 4: Simplify right side
    8,224x = 60,797,938.52
  5. Step 5: Solve for x
    x = 60,797,938.52/8,224
  6. Step 6: Final answer
    x = 7,392.75

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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.