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Finding the Fourth Proportional to 7,843.30, 11,764.37 and 3,684.26

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Solution

The fourth proportional to 7,843.30, 11,764.37 and 3,684.26 is: 5,526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.30 : 11,764.37 = 3,684.26 : x
  2. Step 2: Convert to fraction form
    7,843.30/11,764.37 = 3,684.26/x
  3. Step 3: Cross multiply
    7,843.30x = 11,764.37 × 3,684.26
  4. Step 4: Simplify right side
    7,843.30x = 43,343,036.44
  5. Step 5: Solve for x
    x = 43,343,036.44/7,843.30
  6. Step 6: Final answer
    x = 5,526.12

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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.