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Finding the Fourth Proportional to 4,874.84, 7,298.44 and 4,413.48

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Solution

The fourth proportional to 4,874.84, 7,298.44 and 4,413.48 is: 6,607.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.84 : 7,298.44 = 4,413.48 : x
  2. Step 2: Convert to fraction form
    4,874.84/7,298.44 = 4,413.48/x
  3. Step 3: Cross multiply
    4,874.84x = 7,298.44 × 4,413.48
  4. Step 4: Simplify right side
    4,874.84x = 32,211,518.97
  5. Step 5: Solve for x
    x = 32,211,518.97/4,874.84
  6. Step 6: Final answer
    x = 6,607.71

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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.