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Finding the Fourth Proportional to 10,948, 16,422 and 2,740

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Solution

The fourth proportional to 10,948, 16,422 and 2,740 is: 4,110

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,948 : 16,422 = 2,740 : x
  2. Step 2: Convert to fraction form
    10,948/16,422 = 2,740/x
  3. Step 3: Cross multiply
    10,948x = 16,422 × 2,740
  4. Step 4: Simplify right side
    10,948x = 44,996,280
  5. Step 5: Solve for x
    x = 44,996,280/10,948
  6. Step 6: Final answer
    x = 4,110

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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.