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Finding the Fourth Proportional to 9,744, 14,616 and 2,448

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Solution

The fourth proportional to 9,744, 14,616 and 2,448 is: 3,672

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744 : 14,616 = 2,448 : x
  2. Step 2: Convert to fraction form
    9,744/14,616 = 2,448/x
  3. Step 3: Cross multiply
    9,744x = 14,616 × 2,448
  4. Step 4: Simplify right side
    9,744x = 35,779,968
  5. Step 5: Solve for x
    x = 35,779,968/9,744
  6. Step 6: Final answer
    x = 3,672

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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.