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Finding the Fourth Proportional to 9,806, 13,532.58 and 5,556.96

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Solution

The fourth proportional to 9,806, 13,532.58 and 5,556.96 is: 7,668.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806 : 13,532.58 = 5,556.96 : x
  2. Step 2: Convert to fraction form
    9,806/13,532.58 = 5,556.96/x
  3. Step 3: Cross multiply
    9,806x = 13,532.58 × 5,556.96
  4. Step 4: Simplify right side
    9,806x = 75,199,938.09
  5. Step 5: Solve for x
    x = 75,199,938.09/9,806
  6. Step 6: Final answer
    x = 7,668.77

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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.