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Finding the Fourth Proportional to 6,207.76, 8,566.84 and 3,413.24

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Solution

The fourth proportional to 6,207.76, 8,566.84 and 3,413.24 is: 4,710.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.76 : 8,566.84 = 3,413.24 : x
  2. Step 2: Convert to fraction form
    6,207.76/8,566.84 = 3,413.24/x
  3. Step 3: Cross multiply
    6,207.76x = 8,566.84 × 3,413.24
  4. Step 4: Simplify right side
    6,207.76x = 29,240,680.96
  5. Step 5: Solve for x
    x = 29,240,680.96/6,207.76
  6. Step 6: Final answer
    x = 4,710.34

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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.