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Finding the Fourth Proportional to 9,801.68, 14,704.34 and 3,229.74

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Solution

The fourth proportional to 9,801.68, 14,704.34 and 3,229.74 is: 4,845.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.68 : 14,704.34 = 3,229.74 : x
  2. Step 2: Convert to fraction form
    9,801.68/14,704.34 = 3,229.74/x
  3. Step 3: Cross multiply
    9,801.68x = 14,704.34 × 3,229.74
  4. Step 4: Simplify right side
    9,801.68x = 47,491,178.92
  5. Step 5: Solve for x
    x = 47,491,178.92/9,801.68
  6. Step 6: Final answer
    x = 4,845.21

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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.