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Finding the Fourth Proportional to 6,284.78, 8,672.96 and 3,413.51

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Solution

The fourth proportional to 6,284.78, 8,672.96 and 3,413.51 is: 4,710.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.78 : 8,672.96 = 3,413.51 : x
  2. Step 2: Convert to fraction form
    6,284.78/8,672.96 = 3,413.51/x
  3. Step 3: Cross multiply
    6,284.78x = 8,672.96 × 3,413.51
  4. Step 4: Simplify right side
    6,284.78x = 29,605,265.91
  5. Step 5: Solve for x
    x = 29,605,265.91/6,284.78
  6. Step 6: Final answer
    x = 4,710.63

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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.