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Finding the Fourth Proportional to 5,291.88, 7,946.82 and 4,413.48

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Solution

The fourth proportional to 5,291.88, 7,946.82 and 4,413.48 is: 6,627.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.88 : 7,946.82 = 4,413.48 : x
  2. Step 2: Convert to fraction form
    5,291.88/7,946.82 = 4,413.48/x
  3. Step 3: Cross multiply
    5,291.88x = 7,946.82 × 4,413.48
  4. Step 4: Simplify right side
    5,291.88x = 35,073,131.13
  5. Step 5: Solve for x
    x = 35,073,131.13/5,291.88
  6. Step 6: Final answer
    x = 6,627.73

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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.