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Finding the Fourth Proportional to 9,413.60, 12,999.03 and 5,882.84

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Solution

The fourth proportional to 9,413.60, 12,999.03 and 5,882.84 is: 8,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.60 : 12,999.03 = 5,882.84 : x
  2. Step 2: Convert to fraction form
    9,413.60/12,999.03 = 5,882.84/x
  3. Step 3: Cross multiply
    9,413.60x = 12,999.03 × 5,882.84
  4. Step 4: Simplify right side
    9,413.60x = 76,471,213.65
  5. Step 5: Solve for x
    x = 76,471,213.65/9,413.60
  6. Step 6: Final answer
    x = 8,123.48

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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.