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Finding the Fourth Proportional to 6,974, 10,461.98 and 2,044

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Solution

The fourth proportional to 6,974, 10,461.98 and 2,044 is: 3,066.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974 : 10,461.98 = 2,044 : x
  2. Step 2: Convert to fraction form
    6,974/10,461.98 = 2,044/x
  3. Step 3: Cross multiply
    6,974x = 10,461.98 × 2,044
  4. Step 4: Simplify right side
    6,974x = 21,384,287.12
  5. Step 5: Solve for x
    x = 21,384,287.12/6,974
  6. Step 6: Final answer
    x = 3,066.29

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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.