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Finding the Fourth Proportional to 6,735, 10,102.50 and 2,118

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Solution

The fourth proportional to 6,735, 10,102.50 and 2,118 is: 3,177

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735 : 10,102.50 = 2,118 : x
  2. Step 2: Convert to fraction form
    6,735/10,102.50 = 2,118/x
  3. Step 3: Cross multiply
    6,735x = 10,102.50 × 2,118
  4. Step 4: Simplify right side
    6,735x = 21,397,095
  5. Step 5: Solve for x
    x = 21,397,095/6,735
  6. Step 6: Final answer
    x = 3,177

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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.