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Finding the Fourth Proportional to 6,093.60, 8,413.08 and 4,977.23

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Solution

The fourth proportional to 6,093.60, 8,413.08 and 4,977.23 is: 6,871.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.60 : 8,413.08 = 4,977.23 : x
  2. Step 2: Convert to fraction form
    6,093.60/8,413.08 = 4,977.23/x
  3. Step 3: Cross multiply
    6,093.60x = 8,413.08 × 4,977.23
  4. Step 4: Simplify right side
    6,093.60x = 41,873,792.10
  5. Step 5: Solve for x
    x = 41,873,792.10/6,093.60
  6. Step 6: Final answer
    x = 6,871.77

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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.