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Finding the Fourth Proportional to 9,160.86, 13,739.22 and 5,464.14

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Solution

The fourth proportional to 9,160.86, 13,739.22 and 5,464.14 is: 8,194.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.86 : 13,739.22 = 5,464.14 : x
  2. Step 2: Convert to fraction form
    9,160.86/13,739.22 = 5,464.14/x
  3. Step 3: Cross multiply
    9,160.86x = 13,739.22 × 5,464.14
  4. Step 4: Simplify right side
    9,160.86x = 75,073,021.57
  5. Step 5: Solve for x
    x = 75,073,021.57/9,160.86
  6. Step 6: Final answer
    x = 8,194.98

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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.