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Finding the Fourth Proportional to 17,084, 25,628.16 and 4,772

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Solution

The fourth proportional to 17,084, 25,628.16 and 4,772 is: 7,158.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,084 : 25,628.16 = 4,772 : x
  2. Step 2: Convert to fraction form
    17,084/25,628.16 = 4,772/x
  3. Step 3: Cross multiply
    17,084x = 25,628.16 × 4,772
  4. Step 4: Simplify right side
    17,084x = 122,297,579.52
  5. Step 5: Solve for x
    x = 122,297,579.52/17,084
  6. Step 6: Final answer
    x = 7,158.60

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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.