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Finding the Fourth Proportional to 12,205.68, 16,843.93 and 6,900.18

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Solution

The fourth proportional to 12,205.68, 16,843.93 and 6,900.18 is: 9,522.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.68 : 16,843.93 = 6,900.18 : x
  2. Step 2: Convert to fraction form
    12,205.68/16,843.93 = 6,900.18/x
  3. Step 3: Cross multiply
    12,205.68x = 16,843.93 × 6,900.18
  4. Step 4: Simplify right side
    12,205.68x = 116,226,131.66
  5. Step 5: Solve for x
    x = 116,226,131.66/12,205.68
  6. Step 6: Final answer
    x = 9,522.30

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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.