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Finding the Fourth Proportional to 10,097.94, 15,161.04 and 5,170.98

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Solution

The fourth proportional to 10,097.94, 15,161.04 and 5,170.98 is: 7,763.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.94 : 15,161.04 = 5,170.98 : x
  2. Step 2: Convert to fraction form
    10,097.94/15,161.04 = 5,170.98/x
  3. Step 3: Cross multiply
    10,097.94x = 15,161.04 × 5,170.98
  4. Step 4: Simplify right side
    10,097.94x = 78,397,434.62
  5. Step 5: Solve for x
    x = 78,397,434.62/10,097.94
  6. Step 6: Final answer
    x = 7,763.71

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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.