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Finding the Fourth Proportional to 6,757.76, 9,328.56 and 4,106

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Solution

The fourth proportional to 6,757.76, 9,328.56 and 4,106 is: 5,668.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.76 : 9,328.56 = 4,106 : x
  2. Step 2: Convert to fraction form
    6,757.76/9,328.56 = 4,106/x
  3. Step 3: Cross multiply
    6,757.76x = 9,328.56 × 4,106
  4. Step 4: Simplify right side
    6,757.76x = 38,303,067.36
  5. Step 5: Solve for x
    x = 38,303,067.36/6,757.76
  6. Step 6: Final answer
    x = 5,668.01

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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.