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Finding the Fourth Proportional to 6,389, 9,583.50 and 1,772

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Solution

The fourth proportional to 6,389, 9,583.50 and 1,772 is: 2,658

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389 : 9,583.50 = 1,772 : x
  2. Step 2: Convert to fraction form
    6,389/9,583.50 = 1,772/x
  3. Step 3: Cross multiply
    6,389x = 9,583.50 × 1,772
  4. Step 4: Simplify right side
    6,389x = 16,981,962
  5. Step 5: Solve for x
    x = 16,981,962/6,389
  6. Step 6: Final answer
    x = 2,658

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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.