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Finding the Fourth Proportional to 9,950.59, 13,731.81 and 5,474.63

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Solution

The fourth proportional to 9,950.59, 13,731.81 and 5,474.63 is: 7,554.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.59 : 13,731.81 = 5,474.63 : x
  2. Step 2: Convert to fraction form
    9,950.59/13,731.81 = 5,474.63/x
  3. Step 3: Cross multiply
    9,950.59x = 13,731.81 × 5,474.63
  4. Step 4: Simplify right side
    9,950.59x = 75,176,633.84
  5. Step 5: Solve for x
    x = 75,176,633.84/9,950.59
  6. Step 6: Final answer
    x = 7,554.99

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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.