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Finding the Fourth Proportional to 12,201.75, 16,838.42 and 6,612.75

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Solution

The fourth proportional to 12,201.75, 16,838.42 and 6,612.75 is: 9,125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.75 : 16,838.42 = 6,612.75 : x
  2. Step 2: Convert to fraction form
    12,201.75/16,838.42 = 6,612.75/x
  3. Step 3: Cross multiply
    12,201.75x = 16,838.42 × 6,612.75
  4. Step 4: Simplify right side
    12,201.75x = 111,348,228.79
  5. Step 5: Solve for x
    x = 111,348,228.79/12,201.75
  6. Step 6: Final answer
    x = 9,125.60

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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.