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Finding the Fourth Proportional to 11,178, 16,767 and 2,970

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Solution

The fourth proportional to 11,178, 16,767 and 2,970 is: 4,455

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178 : 16,767 = 2,970 : x
  2. Step 2: Convert to fraction form
    11,178/16,767 = 2,970/x
  3. Step 3: Cross multiply
    11,178x = 16,767 × 2,970
  4. Step 4: Simplify right side
    11,178x = 49,797,990
  5. Step 5: Solve for x
    x = 49,797,990/11,178
  6. Step 6: Final answer
    x = 4,455

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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.