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Finding the Fourth Proportional to 6,214.22, 9,302.82 and 4,127

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Solution

The fourth proportional to 6,214.22, 9,302.82 and 4,127 is: 6,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.22 : 9,302.82 = 4,127 : x
  2. Step 2: Convert to fraction form
    6,214.22/9,302.82 = 4,127/x
  3. Step 3: Cross multiply
    6,214.22x = 9,302.82 × 4,127
  4. Step 4: Simplify right side
    6,214.22x = 38,392,738.14
  5. Step 5: Solve for x
    x = 38,392,738.14/6,214.22
  6. Step 6: Final answer
    x = 6,178.21

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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.