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Finding the Fourth Proportional to 9,992.57, 13,788.36 and 5,743.31

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Solution

The fourth proportional to 9,992.57, 13,788.36 and 5,743.31 is: 7,924.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.57 : 13,788.36 = 5,743.31 : x
  2. Step 2: Convert to fraction form
    9,992.57/13,788.36 = 5,743.31/x
  3. Step 3: Cross multiply
    9,992.57x = 13,788.36 × 5,743.31
  4. Step 4: Simplify right side
    9,992.57x = 79,190,756.93
  5. Step 5: Solve for x
    x = 79,190,756.93/9,992.57
  6. Step 6: Final answer
    x = 7,924.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.