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Finding the Fourth Proportional to 10,844.28, 16,255.49 and 8,241.75

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Solution

The fourth proportional to 10,844.28, 16,255.49 and 8,241.75 is: 12,354.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,844.28 : 16,255.49 = 8,241.75 : x
  2. Step 2: Convert to fraction form
    10,844.28/16,255.49 = 8,241.75/x
  3. Step 3: Cross multiply
    10,844.28x = 16,255.49 × 8,241.75
  4. Step 4: Simplify right side
    10,844.28x = 133,973,643.50
  5. Step 5: Solve for x
    x = 133,973,643.50/10,844.28
  6. Step 6: Final answer
    x = 12,354.31

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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.