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Finding the Fourth Proportional to 9,842, 14,763 and 2,546

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Solution

The fourth proportional to 9,842, 14,763 and 2,546 is: 3,819

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842 : 14,763 = 2,546 : x
  2. Step 2: Convert to fraction form
    9,842/14,763 = 2,546/x
  3. Step 3: Cross multiply
    9,842x = 14,763 × 2,546
  4. Step 4: Simplify right side
    9,842x = 37,586,598
  5. Step 5: Solve for x
    x = 37,586,598/9,842
  6. Step 6: Final answer
    x = 3,819

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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.