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Finding the Fourth Proportional to 6,974, 10,461 and 2,870

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Solution

The fourth proportional to 6,974, 10,461 and 2,870 is: 4,305

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974 : 10,461 = 2,870 : x
  2. Step 2: Convert to fraction form
    6,974/10,461 = 2,870/x
  3. Step 3: Cross multiply
    6,974x = 10,461 × 2,870
  4. Step 4: Simplify right side
    6,974x = 30,023,070
  5. Step 5: Solve for x
    x = 30,023,070/6,974
  6. Step 6: Final answer
    x = 4,305

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.