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Finding the Fourth Proportional to 7,969.25, 11,955.80 and 2,497.25

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Solution

The fourth proportional to 7,969.25, 11,955.80 and 2,497.25 is: 3,746.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.25 : 11,955.80 = 2,497.25 : x
  2. Step 2: Convert to fraction form
    7,969.25/11,955.80 = 2,497.25/x
  3. Step 3: Cross multiply
    7,969.25x = 11,955.80 × 2,497.25
  4. Step 4: Simplify right side
    7,969.25x = 29,856,609.06
  5. Step 5: Solve for x
    x = 29,856,609.06/7,969.25
  6. Step 6: Final answer
    x = 3,746.48

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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.