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Finding the Fourth Proportional to 7,161.86, 9,884.22 and 4,646.72

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Solution

The fourth proportional to 7,161.86, 9,884.22 and 4,646.72 is: 6,413.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.86 : 9,884.22 = 4,646.72 : x
  2. Step 2: Convert to fraction form
    7,161.86/9,884.22 = 4,646.72/x
  3. Step 3: Cross multiply
    7,161.86x = 9,884.22 × 4,646.72
  4. Step 4: Simplify right side
    7,161.86x = 45,929,202.76
  5. Step 5: Solve for x
    x = 45,929,202.76/7,161.86
  6. Step 6: Final answer
    x = 6,413.03

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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.