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Finding the Fourth Proportional to 4,972.77, 7,413.41 and 4,739.49

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Solution

The fourth proportional to 4,972.77, 7,413.41 and 4,739.49 is: 7,065.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.77 : 7,413.41 = 4,739.49 : x
  2. Step 2: Convert to fraction form
    4,972.77/7,413.41 = 4,739.49/x
  3. Step 3: Cross multiply
    4,972.77x = 7,413.41 × 4,739.49
  4. Step 4: Simplify right side
    4,972.77x = 35,135,794.41
  5. Step 5: Solve for x
    x = 35,135,794.41/4,972.77
  6. Step 6: Final answer
    x = 7,065.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.