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Finding the Fourth Proportional to 12,256.22, 16,914.42 and 6,951.38

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Solution

The fourth proportional to 12,256.22, 16,914.42 and 6,951.38 is: 9,593.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,256.22 : 16,914.42 = 6,951.38 : x
  2. Step 2: Convert to fraction form
    12,256.22/16,914.42 = 6,951.38/x
  3. Step 3: Cross multiply
    12,256.22x = 16,914.42 × 6,951.38
  4. Step 4: Simplify right side
    12,256.22x = 117,578,539.76
  5. Step 5: Solve for x
    x = 117,578,539.76/12,256.22
  6. Step 6: Final answer
    x = 9,593.38

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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.