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Finding the Fourth Proportional to 9,745, 14,617.50 and 2,449

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Solution

The fourth proportional to 9,745, 14,617.50 and 2,449 is: 3,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745 : 14,617.50 = 2,449 : x
  2. Step 2: Convert to fraction form
    9,745/14,617.50 = 2,449/x
  3. Step 3: Cross multiply
    9,745x = 14,617.50 × 2,449
  4. Step 4: Simplify right side
    9,745x = 35,798,257.50
  5. Step 5: Solve for x
    x = 35,798,257.50/9,745
  6. Step 6: Final answer
    x = 3,673.50

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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.