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Finding the Fourth Proportional to 4,946.93, 7,413.85 and 2,314.22

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Solution

The fourth proportional to 4,946.93, 7,413.85 and 2,314.22 is: 3,468.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.93 : 7,413.85 = 2,314.22 : x
  2. Step 2: Convert to fraction form
    4,946.93/7,413.85 = 2,314.22/x
  3. Step 3: Cross multiply
    4,946.93x = 7,413.85 × 2,314.22
  4. Step 4: Simplify right side
    4,946.93x = 17,157,292.70
  5. Step 5: Solve for x
    x = 17,157,292.70/4,946.93
  6. Step 6: Final answer
    x = 3,468.27

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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.