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Finding the Fourth Proportional to 6,582, 9,873 and 1,718

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Solution

The fourth proportional to 6,582, 9,873 and 1,718 is: 2,577

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582 : 9,873 = 1,718 : x
  2. Step 2: Convert to fraction form
    6,582/9,873 = 1,718/x
  3. Step 3: Cross multiply
    6,582x = 9,873 × 1,718
  4. Step 4: Simplify right side
    6,582x = 16,961,814
  5. Step 5: Solve for x
    x = 16,961,814/6,582
  6. Step 6: Final answer
    x = 2,577

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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.