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Finding the Fourth Proportional to 4,647.68, 6,413.84 and 2,551.82

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Solution

The fourth proportional to 4,647.68, 6,413.84 and 2,551.82 is: 3,521.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.68 : 6,413.84 = 2,551.82 : x
  2. Step 2: Convert to fraction form
    4,647.68/6,413.84 = 2,551.82/x
  3. Step 3: Cross multiply
    4,647.68x = 6,413.84 × 2,551.82
  4. Step 4: Simplify right side
    4,647.68x = 16,366,965.19
  5. Step 5: Solve for x
    x = 16,366,965.19/4,647.68
  6. Step 6: Final answer
    x = 3,521.53

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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.