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Finding the Fourth Proportional to 12,228.68, 16,874.25 and 6,922.44

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Solution

The fourth proportional to 12,228.68, 16,874.25 and 6,922.44 is: 9,552.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.68 : 16,874.25 = 6,922.44 : x
  2. Step 2: Convert to fraction form
    12,228.68/16,874.25 = 6,922.44/x
  3. Step 3: Cross multiply
    12,228.68x = 16,874.25 × 6,922.44
  4. Step 4: Simplify right side
    12,228.68x = 116,810,983.17
  5. Step 5: Solve for x
    x = 116,810,983.17/12,228.68
  6. Step 6: Final answer
    x = 9,552.22

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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.