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Finding the Fourth Proportional to 6,706, 10,050.36 and 4,960.72

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Solution

The fourth proportional to 6,706, 10,050.36 and 4,960.72 is: 7,434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706 : 10,050.36 = 4,960.72 : x
  2. Step 2: Convert to fraction form
    6,706/10,050.36 = 4,960.72/x
  3. Step 3: Cross multiply
    6,706x = 10,050.36 × 4,960.72
  4. Step 4: Simplify right side
    6,706x = 49,857,021.86
  5. Step 5: Solve for x
    x = 49,857,021.86/6,706
  6. Step 6: Final answer
    x = 7,434.69

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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.