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Finding the Fourth Proportional to 9,950.72, 13,732.20 and 5,474.48

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Solution

The fourth proportional to 9,950.72, 13,732.20 and 5,474.48 is: 7,554.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.72 : 13,732.20 = 5,474.48 : x
  2. Step 2: Convert to fraction form
    9,950.72/13,732.20 = 5,474.48/x
  3. Step 3: Cross multiply
    9,950.72x = 13,732.20 × 5,474.48
  4. Step 4: Simplify right side
    9,950.72x = 75,176,654.26
  5. Step 5: Solve for x
    x = 75,176,654.26/9,950.72
  6. Step 6: Final answer
    x = 7,554.90

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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.