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Finding the Fourth Proportional to 6,065.70, 8,370.32 and 3,413.00

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Solution

The fourth proportional to 6,065.70, 8,370.32 and 3,413.00 is: 4,709.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.70 : 8,370.32 = 3,413.00 : x
  2. Step 2: Convert to fraction form
    6,065.70/8,370.32 = 3,413.00/x
  3. Step 3: Cross multiply
    6,065.70x = 8,370.32 × 3,413.00
  4. Step 4: Simplify right side
    6,065.70x = 28,567,843.24
  5. Step 5: Solve for x
    x = 28,567,843.24/6,065.70
  6. Step 6: Final answer
    x = 4,709.74

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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.