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Finding the Fourth Proportional to 10,906.68, 16,361.60 and 3,508.68

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Solution

The fourth proportional to 10,906.68, 16,361.60 and 3,508.68 is: 5,263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.68 : 16,361.60 = 3,508.68 : x
  2. Step 2: Convert to fraction form
    10,906.68/16,361.60 = 3,508.68/x
  3. Step 3: Cross multiply
    10,906.68x = 16,361.60 × 3,508.68
  4. Step 4: Simplify right side
    10,906.68x = 57,407,662.50
  5. Step 5: Solve for x
    x = 57,407,662.50/10,906.68
  6. Step 6: Final answer
    x = 5,263.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.