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Finding the Fourth Proportional to 9,844, 14,766 and 2,548

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Solution

The fourth proportional to 9,844, 14,766 and 2,548 is: 3,822

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844 : 14,766 = 2,548 : x
  2. Step 2: Convert to fraction form
    9,844/14,766 = 2,548/x
  3. Step 3: Cross multiply
    9,844x = 14,766 × 2,548
  4. Step 4: Simplify right side
    9,844x = 37,623,768
  5. Step 5: Solve for x
    x = 37,623,768/9,844
  6. Step 6: Final answer
    x = 3,822

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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.