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Finding the Fourth Proportional to 6,107, 8,427.66 and 3,312.52

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Solution

The fourth proportional to 6,107, 8,427.66 and 3,312.52 is: 4,571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107 : 8,427.66 = 3,312.52 : x
  2. Step 2: Convert to fraction form
    6,107/8,427.66 = 3,312.52/x
  3. Step 3: Cross multiply
    6,107x = 8,427.66 × 3,312.52
  4. Step 4: Simplify right side
    6,107x = 27,916,792.30
  5. Step 5: Solve for x
    x = 27,916,792.30/6,107
  6. Step 6: Final answer
    x = 4,571.28

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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.