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Finding the Fourth Proportional to 9,838.10, 14,793.60 and 8,234.30

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Solution

The fourth proportional to 9,838.10, 14,793.60 and 8,234.30 is: 12,381.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.10 : 14,793.60 = 8,234.30 : x
  2. Step 2: Convert to fraction form
    9,838.10/14,793.60 = 8,234.30/x
  3. Step 3: Cross multiply
    9,838.10x = 14,793.60 × 8,234.30
  4. Step 4: Simplify right side
    9,838.10x = 121,814,940.48
  5. Step 5: Solve for x
    x = 121,814,940.48/9,838.10
  6. Step 6: Final answer
    x = 12,381.96

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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.