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Finding the Fourth Proportional to 6,413.88, 8,857.27 and 6,064.44

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Solution

The fourth proportional to 6,413.88, 8,857.27 and 6,064.44 is: 8,374.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.88 : 8,857.27 = 6,064.44 : x
  2. Step 2: Convert to fraction form
    6,413.88/8,857.27 = 6,064.44/x
  3. Step 3: Cross multiply
    6,413.88x = 8,857.27 × 6,064.44
  4. Step 4: Simplify right side
    6,413.88x = 53,714,448.63
  5. Step 5: Solve for x
    x = 53,714,448.63/6,413.88
  6. Step 6: Final answer
    x = 8,374.72

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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.