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Finding the Fourth Proportional to 6,175.10, 9,308.79 and 5,649.67

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Solution

The fourth proportional to 6,175.10, 9,308.79 and 5,649.67 is: 8,516.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.10 : 9,308.79 = 5,649.67 : x
  2. Step 2: Convert to fraction form
    6,175.10/9,308.79 = 5,649.67/x
  3. Step 3: Cross multiply
    6,175.10x = 9,308.79 × 5,649.67
  4. Step 4: Simplify right side
    6,175.10x = 52,591,550.87
  5. Step 5: Solve for x
    x = 52,591,550.87/6,175.10
  6. Step 6: Final answer
    x = 8,516.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.