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Finding the Fourth Proportional to 6,133.48, 9,198.30 and 5,780.20

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Solution

The fourth proportional to 6,133.48, 9,198.30 and 5,780.20 is: 8,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.48 : 9,198.30 = 5,780.20 : x
  2. Step 2: Convert to fraction form
    6,133.48/9,198.30 = 5,780.20/x
  3. Step 3: Cross multiply
    6,133.48x = 9,198.30 × 5,780.20
  4. Step 4: Simplify right side
    6,133.48x = 53,168,013.66
  5. Step 5: Solve for x
    x = 53,168,013.66/6,133.48
  6. Step 6: Final answer
    x = 8,668.49

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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.