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Finding the Fourth Proportional to 9,832.97, 14,727.99 and 7,975.44

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Solution

The fourth proportional to 9,832.97, 14,727.99 and 7,975.44 is: 11,945.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.97 : 14,727.99 = 7,975.44 : x
  2. Step 2: Convert to fraction form
    9,832.97/14,727.99 = 7,975.44/x
  3. Step 3: Cross multiply
    9,832.97x = 14,727.99 × 7,975.44
  4. Step 4: Simplify right side
    9,832.97x = 117,462,200.57
  5. Step 5: Solve for x
    x = 117,462,200.57/9,832.97
  6. Step 6: Final answer
    x = 11,945.75

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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.