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Finding the Fourth Proportional to 6,034.43, 9,051.14 and 1,651.79

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Solution

The fourth proportional to 6,034.43, 9,051.14 and 1,651.79 is: 2,477.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.43 : 9,051.14 = 1,651.79 : x
  2. Step 2: Convert to fraction form
    6,034.43/9,051.14 = 1,651.79/x
  3. Step 3: Cross multiply
    6,034.43x = 9,051.14 × 1,651.79
  4. Step 4: Simplify right side
    6,034.43x = 14,950,609.30
  5. Step 5: Solve for x
    x = 14,950,609.30/6,034.43
  6. Step 6: Final answer
    x = 2,477.55

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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.