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Finding the Fourth Proportional to 11,734, 16,192.56 and 6,428.68

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Solution

The fourth proportional to 11,734, 16,192.56 and 6,428.68 is: 8,871.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,734 : 16,192.56 = 6,428.68 : x
  2. Step 2: Convert to fraction form
    11,734/16,192.56 = 6,428.68/x
  3. Step 3: Cross multiply
    11,734x = 16,192.56 × 6,428.68
  4. Step 4: Simplify right side
    11,734x = 104,096,786.62
  5. Step 5: Solve for x
    x = 104,096,786.62/11,734
  6. Step 6: Final answer
    x = 8,871.38

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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.