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Finding the Fourth Proportional to 6,984, 9,638.46 and 4,893.12

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Solution

The fourth proportional to 6,984, 9,638.46 and 4,893.12 is: 6,752.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984 : 9,638.46 = 4,893.12 : x
  2. Step 2: Convert to fraction form
    6,984/9,638.46 = 4,893.12/x
  3. Step 3: Cross multiply
    6,984x = 9,638.46 × 4,893.12
  4. Step 4: Simplify right side
    6,984x = 47,162,141.40
  5. Step 5: Solve for x
    x = 47,162,141.40/6,984
  6. Step 6: Final answer
    x = 6,752.88

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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.