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Finding the Fourth Proportional to 12,204.81, 16,843.50 and 6,899.67

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Solution

The fourth proportional to 12,204.81, 16,843.50 and 6,899.67 is: 9,522.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.81 : 16,843.50 = 6,899.67 : x
  2. Step 2: Convert to fraction form
    12,204.81/16,843.50 = 6,899.67/x
  3. Step 3: Cross multiply
    12,204.81x = 16,843.50 × 6,899.67
  4. Step 4: Simplify right side
    12,204.81x = 116,214,591.65
  5. Step 5: Solve for x
    x = 116,214,591.65/12,204.81
  6. Step 6: Final answer
    x = 9,522.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.