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Finding the Fourth Proportional to 6,709.80, 10,066.44 and 2,549.88

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Solution

The fourth proportional to 6,709.80, 10,066.44 and 2,549.88 is: 3,825.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.80 : 10,066.44 = 2,549.88 : x
  2. Step 2: Convert to fraction form
    6,709.80/10,066.44 = 2,549.88/x
  3. Step 3: Cross multiply
    6,709.80x = 10,066.44 × 2,549.88
  4. Step 4: Simplify right side
    6,709.80x = 25,668,214.03
  5. Step 5: Solve for x
    x = 25,668,214.03/6,709.80
  6. Step 6: Final answer
    x = 3,825.48

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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.