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Finding the Fourth Proportional to 9,009.36, 13,474.62 and 5,489.64

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Solution

The fourth proportional to 9,009.36, 13,474.62 and 5,489.64 is: 8,210.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,009.36 : 13,474.62 = 5,489.64 : x
  2. Step 2: Convert to fraction form
    9,009.36/13,474.62 = 5,489.64/x
  3. Step 3: Cross multiply
    9,009.36x = 13,474.62 × 5,489.64
  4. Step 4: Simplify right side
    9,009.36x = 73,970,812.94
  5. Step 5: Solve for x
    x = 73,970,812.94/9,009.36
  6. Step 6: Final answer
    x = 8,210.44

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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.