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Finding the Fourth Proportional to 6,276.70, 9,413.70 and 2,766.70

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Solution

The fourth proportional to 6,276.70, 9,413.70 and 2,766.70 is: 4,149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.70 : 9,413.70 = 2,766.70 : x
  2. Step 2: Convert to fraction form
    6,276.70/9,413.70 = 2,766.70/x
  3. Step 3: Cross multiply
    6,276.70x = 9,413.70 × 2,766.70
  4. Step 4: Simplify right side
    6,276.70x = 26,044,883.79
  5. Step 5: Solve for x
    x = 26,044,883.79/6,276.70
  6. Step 6: Final answer
    x = 4,149.45

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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.