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Finding the Fourth Proportional to 12,222.66, 16,865.85 and 6,845.40

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Solution

The fourth proportional to 12,222.66, 16,865.85 and 6,845.40 is: 9,445.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,222.66 : 16,865.85 = 6,845.40 : x
  2. Step 2: Convert to fraction form
    12,222.66/16,865.85 = 6,845.40/x
  3. Step 3: Cross multiply
    12,222.66x = 16,865.85 × 6,845.40
  4. Step 4: Simplify right side
    12,222.66x = 115,453,489.59
  5. Step 5: Solve for x
    x = 115,453,489.59/12,222.66
  6. Step 6: Final answer
    x = 9,445.86

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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.