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Finding the Fourth Proportional to 6,544.33, 9,829.08 and 5,609.39

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Solution

The fourth proportional to 6,544.33, 9,829.08 and 5,609.39 is: 8,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.33 : 9,829.08 = 5,609.39 : x
  2. Step 2: Convert to fraction form
    6,544.33/9,829.08 = 5,609.39/x
  3. Step 3: Cross multiply
    6,544.33x = 9,829.08 × 5,609.39
  4. Step 4: Simplify right side
    6,544.33x = 55,135,093.92
  5. Step 5: Solve for x
    x = 55,135,093.92/6,544.33
  6. Step 6: Final answer
    x = 8,424.87

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1.5x scale

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.