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Finding the Fourth Proportional to 9,785.52, 14,676.97 and 2,766.09

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Solution

The fourth proportional to 9,785.52, 14,676.97 and 2,766.09 is: 4,148.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.52 : 14,676.97 = 2,766.09 : x
  2. Step 2: Convert to fraction form
    9,785.52/14,676.97 = 2,766.09/x
  3. Step 3: Cross multiply
    9,785.52x = 14,676.97 × 2,766.09
  4. Step 4: Simplify right side
    9,785.52x = 40,597,824.28
  5. Step 5: Solve for x
    x = 40,597,824.28/9,785.52
  6. Step 6: Final answer
    x = 4,148.76

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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.