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Finding the Fourth Proportional to 9,449.58, 14,176.41 and 2,786.22

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Solution

The fourth proportional to 9,449.58, 14,176.41 and 2,786.22 is: 4,179.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.58 : 14,176.41 = 2,786.22 : x
  2. Step 2: Convert to fraction form
    9,449.58/14,176.41 = 2,786.22/x
  3. Step 3: Cross multiply
    9,449.58x = 14,176.41 × 2,786.22
  4. Step 4: Simplify right side
    9,449.58x = 39,498,597.07
  5. Step 5: Solve for x
    x = 39,498,597.07/9,449.58
  6. Step 6: Final answer
    x = 4,179.93

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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.