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Finding the Fourth Proportional to 8,413.96, 12,620.48 and 2,570.08

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Solution

The fourth proportional to 8,413.96, 12,620.48 and 2,570.08 is: 3,854.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.96 : 12,620.48 = 2,570.08 : x
  2. Step 2: Convert to fraction form
    8,413.96/12,620.48 = 2,570.08/x
  3. Step 3: Cross multiply
    8,413.96x = 12,620.48 × 2,570.08
  4. Step 4: Simplify right side
    8,413.96x = 32,435,643.24
  5. Step 5: Solve for x
    x = 32,435,643.24/8,413.96
  6. Step 6: Final answer
    x = 3,854.98

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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.