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Finding the Fourth Proportional to 6,570.78, 9,067.68 and 3,586.56

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Solution

The fourth proportional to 6,570.78, 9,067.68 and 3,586.56 is: 4,949.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.78 : 9,067.68 = 3,586.56 : x
  2. Step 2: Convert to fraction form
    6,570.78/9,067.68 = 3,586.56/x
  3. Step 3: Cross multiply
    6,570.78x = 9,067.68 × 3,586.56
  4. Step 4: Simplify right side
    6,570.78x = 32,521,778.38
  5. Step 5: Solve for x
    x = 32,521,778.38/6,570.78
  6. Step 6: Final answer
    x = 4,949.45

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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.