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Finding the Fourth Proportional to 16,984.16, 25,453.08 and 6,448.54

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Solution

The fourth proportional to 16,984.16, 25,453.08 and 6,448.54 is: 9,664.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,984.16 : 25,453.08 = 6,448.54 : x
  2. Step 2: Convert to fraction form
    16,984.16/25,453.08 = 6,448.54/x
  3. Step 3: Cross multiply
    16,984.16x = 25,453.08 × 6,448.54
  4. Step 4: Simplify right side
    16,984.16x = 164,135,172.26
  5. Step 5: Solve for x
    x = 164,135,172.26/16,984.16
  6. Step 6: Final answer
    x = 9,664.01

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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.