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Finding the Fourth Proportional to 12,205.76, 16,841.04 and 6,899.84

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Solution

The fourth proportional to 12,205.76, 16,841.04 and 6,899.84 is: 9,520.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.76 : 16,841.04 = 6,899.84 : x
  2. Step 2: Convert to fraction form
    12,205.76/16,841.04 = 6,899.84/x
  3. Step 3: Cross multiply
    12,205.76x = 16,841.04 × 6,899.84
  4. Step 4: Simplify right side
    12,205.76x = 116,200,481.43
  5. Step 5: Solve for x
    x = 116,200,481.43/12,205.76
  6. Step 6: Final answer
    x = 9,520.13

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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.