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Finding the Fourth Proportional to 8,271.78, 11,413.08 and 4,914.60

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Solution

The fourth proportional to 8,271.78, 11,413.08 and 4,914.60 is: 6,780.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.78 : 11,413.08 = 4,914.60 : x
  2. Step 2: Convert to fraction form
    8,271.78/11,413.08 = 4,914.60/x
  3. Step 3: Cross multiply
    8,271.78x = 11,413.08 × 4,914.60
  4. Step 4: Simplify right side
    8,271.78x = 56,090,722.97
  5. Step 5: Solve for x
    x = 56,090,722.97/8,271.78
  6. Step 6: Final answer
    x = 6,780.97

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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.