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Finding the Fourth Proportional to 30,605.07, 45,902.22 and 8,413.10

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Solution

The fourth proportional to 30,605.07, 45,902.22 and 8,413.10 is: 12,618.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,605.07 : 45,902.22 = 8,413.10 : x
  2. Step 2: Convert to fraction form
    30,605.07/45,902.22 = 8,413.10/x
  3. Step 3: Cross multiply
    30,605.07x = 45,902.22 × 8,413.10
  4. Step 4: Simplify right side
    30,605.07x = 386,179,737.57
  5. Step 5: Solve for x
    x = 386,179,737.57/30,605.07
  6. Step 6: Final answer
    x = 12,618.16

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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.