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Finding the Fourth Proportional to 8,570.40, 12,855.60 and 2,413.60

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Solution

The fourth proportional to 8,570.40, 12,855.60 and 2,413.60 is: 3,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.40 : 12,855.60 = 2,413.60 : x
  2. Step 2: Convert to fraction form
    8,570.40/12,855.60 = 2,413.60/x
  3. Step 3: Cross multiply
    8,570.40x = 12,855.60 × 2,413.60
  4. Step 4: Simplify right side
    8,570.40x = 31,028,276.16
  5. Step 5: Solve for x
    x = 31,028,276.16/8,570.40
  6. Step 6: Final answer
    x = 3,620.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.