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Finding the Fourth Proportional to 7,475.86, 11,214.86 and 2,546.30

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Solution

The fourth proportional to 7,475.86, 11,214.86 and 2,546.30 is: 3,819.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.86 : 11,214.86 = 2,546.30 : x
  2. Step 2: Convert to fraction form
    7,475.86/11,214.86 = 2,546.30/x
  3. Step 3: Cross multiply
    7,475.86x = 11,214.86 × 2,546.30
  4. Step 4: Simplify right side
    7,475.86x = 28,556,413.32
  5. Step 5: Solve for x
    x = 28,556,413.32/7,475.86
  6. Step 6: Final answer
    x = 3,819.82

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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.