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Finding the Fourth Proportional to 12,205.23, 16,843.04 and 6,899.86

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Solution

The fourth proportional to 12,205.23, 16,843.04 and 6,899.86 is: 9,521.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.23 : 16,843.04 = 6,899.86 : x
  2. Step 2: Convert to fraction form
    12,205.23/16,843.04 = 6,899.86/x
  3. Step 3: Cross multiply
    12,205.23x = 16,843.04 × 6,899.86
  4. Step 4: Simplify right side
    12,205.23x = 116,214,583.48
  5. Step 5: Solve for x
    x = 116,214,583.48/12,205.23
  6. Step 6: Final answer
    x = 9,521.70

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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.