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Finding the Fourth Proportional to 7,841.88, 11,758.42 and 3,164.14

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Solution

The fourth proportional to 7,841.88, 11,758.42 and 3,164.14 is: 4,744.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.88 : 11,758.42 = 3,164.14 : x
  2. Step 2: Convert to fraction form
    7,841.88/11,758.42 = 3,164.14/x
  3. Step 3: Cross multiply
    7,841.88x = 11,758.42 × 3,164.14
  4. Step 4: Simplify right side
    7,841.88x = 37,205,287.06
  5. Step 5: Solve for x
    x = 37,205,287.06/7,841.88
  6. Step 6: Final answer
    x = 4,744.43

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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.