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Finding the Fourth Proportional to 11,759.64, 17,642.07 and 3,968.25

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Solution

The fourth proportional to 11,759.64, 17,642.07 and 3,968.25 is: 5,953.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.64 : 17,642.07 = 3,968.25 : x
  2. Step 2: Convert to fraction form
    11,759.64/17,642.07 = 3,968.25/x
  3. Step 3: Cross multiply
    11,759.64x = 17,642.07 × 3,968.25
  4. Step 4: Simplify right side
    11,759.64x = 70,008,144.28
  5. Step 5: Solve for x
    x = 70,008,144.28/11,759.64
  6. Step 6: Final answer
    x = 5,953.26

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1.5x scale

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.