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Finding the Fourth Proportional to 6,537.79, 9,791.19 and 4,975.91

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Solution

The fourth proportional to 6,537.79, 9,791.19 and 4,975.91 is: 7,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.79 : 9,791.19 = 4,975.91 : x
  2. Step 2: Convert to fraction form
    6,537.79/9,791.19 = 4,975.91/x
  3. Step 3: Cross multiply
    6,537.79x = 9,791.19 × 4,975.91
  4. Step 4: Simplify right side
    6,537.79x = 48,720,031.28
  5. Step 5: Solve for x
    x = 48,720,031.28/6,537.79
  6. Step 6: Final answer
    x = 7,452.07

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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.