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Finding the Fourth Proportional to 13,411.08, 20,093.88 and 8,206.08

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Solution

The fourth proportional to 13,411.08, 20,093.88 and 8,206.08 is: 12,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.08 : 20,093.88 = 8,206.08 : x
  2. Step 2: Convert to fraction form
    13,411.08/20,093.88 = 8,206.08/x
  3. Step 3: Cross multiply
    13,411.08x = 20,093.88 × 8,206.08
  4. Step 4: Simplify right side
    13,411.08x = 164,891,986.79
  5. Step 5: Solve for x
    x = 164,891,986.79/13,411.08
  6. Step 6: Final answer
    x = 12,295.21

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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.