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Finding the Fourth Proportional to 7,575.10, 11,365.48 and 3,413.86

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Solution

The fourth proportional to 7,575.10, 11,365.48 and 3,413.86 is: 5,122.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.10 : 11,365.48 = 3,413.86 : x
  2. Step 2: Convert to fraction form
    7,575.10/11,365.48 = 3,413.86/x
  3. Step 3: Cross multiply
    7,575.10x = 11,365.48 × 3,413.86
  4. Step 4: Simplify right side
    7,575.10x = 38,800,157.55
  5. Step 5: Solve for x
    x = 38,800,157.55/7,575.10
  6. Step 6: Final answer
    x = 5,122.07

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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.