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Finding the Fourth Proportional to 10,735.54, 16,100.96 and 5,464.96

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Solution

The fourth proportional to 10,735.54, 16,100.96 and 5,464.96 is: 8,196.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.54 : 16,100.96 = 5,464.96 : x
  2. Step 2: Convert to fraction form
    10,735.54/16,100.96 = 5,464.96/x
  3. Step 3: Cross multiply
    10,735.54x = 16,100.96 × 5,464.96
  4. Step 4: Simplify right side
    10,735.54x = 87,991,102.36
  5. Step 5: Solve for x
    x = 87,991,102.36/10,735.54
  6. Step 6: Final answer
    x = 8,196.24

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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.