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Finding the Fourth Proportional to 6,099, 8,413.38 and 4,106.16

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Solution

The fourth proportional to 6,099, 8,413.38 and 4,106.16 is: 5,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099 : 8,413.38 = 4,106.16 : x
  2. Step 2: Convert to fraction form
    6,099/8,413.38 = 4,106.16/x
  3. Step 3: Cross multiply
    6,099x = 8,413.38 × 4,106.16
  4. Step 4: Simplify right side
    6,099x = 34,546,684.42
  5. Step 5: Solve for x
    x = 34,546,684.42/6,099
  6. Step 6: Final answer
    x = 5,664.32

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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.