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Finding the Fourth Proportional to 4,893.86, 7,340.46 and 1,609.10

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Solution

The fourth proportional to 4,893.86, 7,340.46 and 1,609.10 is: 2,413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893.86 : 7,340.46 = 1,609.10 : x
  2. Step 2: Convert to fraction form
    4,893.86/7,340.46 = 1,609.10/x
  3. Step 3: Cross multiply
    4,893.86x = 7,340.46 × 1,609.10
  4. Step 4: Simplify right side
    4,893.86x = 11,811,534.19
  5. Step 5: Solve for x
    x = 11,811,534.19/4,893.86
  6. Step 6: Final answer
    x = 2,413.54

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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.