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Finding the Fourth Proportional to 9,748, 14,622 and 2,452

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Solution

The fourth proportional to 9,748, 14,622 and 2,452 is: 3,678

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748 : 14,622 = 2,452 : x
  2. Step 2: Convert to fraction form
    9,748/14,622 = 2,452/x
  3. Step 3: Cross multiply
    9,748x = 14,622 × 2,452
  4. Step 4: Simplify right side
    9,748x = 35,853,144
  5. Step 5: Solve for x
    x = 35,853,144/9,748
  6. Step 6: Final answer
    x = 3,678

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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.