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Finding the Fourth Proportional to 5,998.40, 8,282.72 and 4,413.84

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Solution

The fourth proportional to 5,998.40, 8,282.72 and 4,413.84 is: 6,094.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.40 : 8,282.72 = 4,413.84 : x
  2. Step 2: Convert to fraction form
    5,998.40/8,282.72 = 4,413.84/x
  3. Step 3: Cross multiply
    5,998.40x = 8,282.72 × 4,413.84
  4. Step 4: Simplify right side
    5,998.40x = 36,558,600.84
  5. Step 5: Solve for x
    x = 36,558,600.84/5,998.40
  6. Step 6: Final answer
    x = 6,094.73

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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.