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Finding the Fourth Proportional to 7,841.94, 11,762.91 and 2,910.26

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Solution

The fourth proportional to 7,841.94, 11,762.91 and 2,910.26 is: 4,365.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.94 : 11,762.91 = 2,910.26 : x
  2. Step 2: Convert to fraction form
    7,841.94/11,762.91 = 2,910.26/x
  3. Step 3: Cross multiply
    7,841.94x = 11,762.91 × 2,910.26
  4. Step 4: Simplify right side
    7,841.94x = 34,233,067.64
  5. Step 5: Solve for x
    x = 34,233,067.64/7,841.94
  6. Step 6: Final answer
    x = 4,365.38

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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.