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Finding the Fourth Proportional to 9,950.29, 13,731.74 and 5,474.23

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Solution

The fourth proportional to 9,950.29, 13,731.74 and 5,474.23 is: 7,554.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.29 : 13,731.74 = 5,474.23 : x
  2. Step 2: Convert to fraction form
    9,950.29/13,731.74 = 5,474.23/x
  3. Step 3: Cross multiply
    9,950.29x = 13,731.74 × 5,474.23
  4. Step 4: Simplify right side
    9,950.29x = 75,170,703.06
  5. Step 5: Solve for x
    x = 75,170,703.06/9,950.29
  6. Step 6: Final answer
    x = 7,554.62

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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.