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Finding the Fourth Proportional to 16,227.68, 24,327.68 and 6,364.64

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Solution

The fourth proportional to 16,227.68, 24,327.68 and 6,364.64 is: 9,541.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,227.68 : 24,327.68 = 6,364.64 : x
  2. Step 2: Convert to fraction form
    16,227.68/24,327.68 = 6,364.64/x
  3. Step 3: Cross multiply
    16,227.68x = 24,327.68 × 6,364.64
  4. Step 4: Simplify right side
    16,227.68x = 154,836,954.23
  5. Step 5: Solve for x
    x = 154,836,954.23/16,227.68
  6. Step 6: Final answer
    x = 9,541.54

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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.