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Finding the Fourth Proportional to 19,696.86, 29,536.65 and 7,213.65

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Solution

The fourth proportional to 19,696.86, 29,536.65 and 7,213.65 is: 10,817.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,696.86 : 29,536.65 = 7,213.65 : x
  2. Step 2: Convert to fraction form
    19,696.86/29,536.65 = 7,213.65/x
  3. Step 3: Cross multiply
    19,696.86x = 29,536.65 × 7,213.65
  4. Step 4: Simplify right side
    19,696.86x = 213,067,055.27
  5. Step 5: Solve for x
    x = 213,067,055.27/19,696.86
  6. Step 6: Final answer
    x = 10,817.31

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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.