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Finding the Fourth Proportional to 9,950.89, 13,731.89 and 5,474.60

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Solution

The fourth proportional to 9,950.89, 13,731.89 and 5,474.60 is: 7,554.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.89 : 13,731.89 = 5,474.60 : x
  2. Step 2: Convert to fraction form
    9,950.89/13,731.89 = 5,474.60/x
  3. Step 3: Cross multiply
    9,950.89x = 13,731.89 × 5,474.60
  4. Step 4: Simplify right side
    9,950.89x = 75,176,604.99
  5. Step 5: Solve for x
    x = 75,176,604.99/9,950.89
  6. Step 6: Final answer
    x = 7,554.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.