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Finding the Fourth Proportional to 9,199.54, 13,799.49 and 4,825.54

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Solution

The fourth proportional to 9,199.54, 13,799.49 and 4,825.54 is: 7,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.54 : 13,799.49 = 4,825.54 : x
  2. Step 2: Convert to fraction form
    9,199.54/13,799.49 = 4,825.54/x
  3. Step 3: Cross multiply
    9,199.54x = 13,799.49 × 4,825.54
  4. Step 4: Simplify right side
    9,199.54x = 66,589,990.97
  5. Step 5: Solve for x
    x = 66,589,990.97/9,199.54
  6. Step 6: Final answer
    x = 7,238.40

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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.