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Finding the Fourth Proportional to 9,791.72, 13,516.08 and 5,812.83

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Solution

The fourth proportional to 9,791.72, 13,516.08 and 5,812.83 is: 8,023.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.72 : 13,516.08 = 5,812.83 : x
  2. Step 2: Convert to fraction form
    9,791.72/13,516.08 = 5,812.83/x
  3. Step 3: Cross multiply
    9,791.72x = 13,516.08 × 5,812.83
  4. Step 4: Simplify right side
    9,791.72x = 78,566,675.31
  5. Step 5: Solve for x
    x = 78,566,675.31/9,791.72
  6. Step 6: Final answer
    x = 8,023.79

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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.