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Finding the Fourth Proportional to 9,794.90, 14,676.15 and 8,336.90

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Solution

The fourth proportional to 9,794.90, 14,676.15 and 8,336.90 is: 12,491.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.90 : 14,676.15 = 8,336.90 : x
  2. Step 2: Convert to fraction form
    9,794.90/14,676.15 = 8,336.90/x
  3. Step 3: Cross multiply
    9,794.90x = 14,676.15 × 8,336.90
  4. Step 4: Simplify right side
    9,794.90x = 122,353,594.94
  5. Step 5: Solve for x
    x = 122,353,594.94/9,794.90
  6. Step 6: Final answer
    x = 12,491.56

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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.