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Finding the Fourth Proportional to 6,584, 9,876 and 1,720

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Solution

The fourth proportional to 6,584, 9,876 and 1,720 is: 2,580

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584 : 9,876 = 1,720 : x
  2. Step 2: Convert to fraction form
    6,584/9,876 = 1,720/x
  3. Step 3: Cross multiply
    6,584x = 9,876 × 1,720
  4. Step 4: Simplify right side
    6,584x = 16,986,720
  5. Step 5: Solve for x
    x = 16,986,720/6,584
  6. Step 6: Final answer
    x = 2,580

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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.