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Finding the Fourth Proportional to 6,574.61, 9,856.05 and 2,413.66

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Solution

The fourth proportional to 6,574.61, 9,856.05 and 2,413.66 is: 3,618.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.61 : 9,856.05 = 2,413.66 : x
  2. Step 2: Convert to fraction form
    6,574.61/9,856.05 = 2,413.66/x
  3. Step 3: Cross multiply
    6,574.61x = 9,856.05 × 2,413.66
  4. Step 4: Simplify right side
    6,574.61x = 23,789,119.95
  5. Step 5: Solve for x
    x = 23,789,119.95/6,574.61
  6. Step 6: Final answer
    x = 3,618.33

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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.