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Finding the Fourth Proportional to 9,169.94, 13,759.86 and 3,976.22

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Solution

The fourth proportional to 9,169.94, 13,759.86 and 3,976.22 is: 5,966.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.94 : 13,759.86 = 3,976.22 : x
  2. Step 2: Convert to fraction form
    9,169.94/13,759.86 = 3,976.22/x
  3. Step 3: Cross multiply
    9,169.94x = 13,759.86 × 3,976.22
  4. Step 4: Simplify right side
    9,169.94x = 54,712,230.53
  5. Step 5: Solve for x
    x = 54,712,230.53/9,169.94
  6. Step 6: Final answer
    x = 5,966.48

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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.