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Finding the Fourth Proportional to 7,170.94, 10,765.46 and 6,838.57

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Solution

The fourth proportional to 7,170.94, 10,765.46 and 6,838.57 is: 10,266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.94 : 10,765.46 = 6,838.57 : x
  2. Step 2: Convert to fraction form
    7,170.94/10,765.46 = 6,838.57/x
  3. Step 3: Cross multiply
    7,170.94x = 10,765.46 × 6,838.57
  4. Step 4: Simplify right side
    7,170.94x = 73,620,351.79
  5. Step 5: Solve for x
    x = 73,620,351.79/7,170.94
  6. Step 6: Final answer
    x = 10,266.49

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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.