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Finding the Fourth Proportional to 7,118.88, 9,825.48 and 3,975

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Solution

The fourth proportional to 7,118.88, 9,825.48 and 3,975 is: 5,486.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.88 : 9,825.48 = 3,975 : x
  2. Step 2: Convert to fraction form
    7,118.88/9,825.48 = 3,975/x
  3. Step 3: Cross multiply
    7,118.88x = 9,825.48 × 3,975
  4. Step 4: Simplify right side
    7,118.88x = 39,056,283
  5. Step 5: Solve for x
    x = 39,056,283/7,118.88
  6. Step 6: Final answer
    x = 5,486.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.