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Finding the Fourth Proportional to 6,376.56, 9,556.76 and 3,604.80

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Solution

The fourth proportional to 6,376.56, 9,556.76 and 3,604.80 is: 5,402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.56 : 9,556.76 = 3,604.80 : x
  2. Step 2: Convert to fraction form
    6,376.56/9,556.76 = 3,604.80/x
  3. Step 3: Cross multiply
    6,376.56x = 9,556.76 × 3,604.80
  4. Step 4: Simplify right side
    6,376.56x = 34,450,253.30
  5. Step 5: Solve for x
    x = 34,450,253.30/6,376.56
  6. Step 6: Final answer
    x = 5,402.64

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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.