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Finding the Fourth Proportional to 8,194.65, 12,295.08 and 4,910.10

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Solution

The fourth proportional to 8,194.65, 12,295.08 and 4,910.10 is: 7,367.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.65 : 12,295.08 = 4,910.10 : x
  2. Step 2: Convert to fraction form
    8,194.65/12,295.08 = 4,910.10/x
  3. Step 3: Cross multiply
    8,194.65x = 12,295.08 × 4,910.10
  4. Step 4: Simplify right side
    8,194.65x = 60,370,072.31
  5. Step 5: Solve for x
    x = 60,370,072.31/8,194.65
  6. Step 6: Final answer
    x = 7,367.01

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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.