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Finding the Fourth Proportional to 6,267.16, 8,648.22 and 3,434.08

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Solution

The fourth proportional to 6,267.16, 8,648.22 and 3,434.08 is: 4,738.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.16 : 8,648.22 = 3,434.08 : x
  2. Step 2: Convert to fraction form
    6,267.16/8,648.22 = 3,434.08/x
  3. Step 3: Cross multiply
    6,267.16x = 8,648.22 × 3,434.08
  4. Step 4: Simplify right side
    6,267.16x = 29,698,679.34
  5. Step 5: Solve for x
    x = 29,698,679.34/6,267.16
  6. Step 6: Final answer
    x = 4,738.78

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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.