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Finding the Fourth Proportional to 10,773.44, 16,142.88 and 9,736.64

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Solution

The fourth proportional to 10,773.44, 16,142.88 and 9,736.64 is: 14,589.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.44 : 16,142.88 = 9,736.64 : x
  2. Step 2: Convert to fraction form
    10,773.44/16,142.88 = 9,736.64/x
  3. Step 3: Cross multiply
    10,773.44x = 16,142.88 × 9,736.64
  4. Step 4: Simplify right side
    10,773.44x = 157,177,411.12
  5. Step 5: Solve for x
    x = 157,177,411.12/10,773.44
  6. Step 6: Final answer
    x = 14,589.34

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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.