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Finding the Fourth Proportional to 9,638, 14,457 and 2,342

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Solution

The fourth proportional to 9,638, 14,457 and 2,342 is: 3,513

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638 : 14,457 = 2,342 : x
  2. Step 2: Convert to fraction form
    9,638/14,457 = 2,342/x
  3. Step 3: Cross multiply
    9,638x = 14,457 × 2,342
  4. Step 4: Simplify right side
    9,638x = 33,858,294
  5. Step 5: Solve for x
    x = 33,858,294/9,638
  6. Step 6: Final answer
    x = 3,513

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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.