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Finding the Fourth Proportional to 6,992.68, 9,638.04 and 4,630.72

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Solution

The fourth proportional to 6,992.68, 9,638.04 and 4,630.72 is: 6,382.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.68 : 9,638.04 = 4,630.72 : x
  2. Step 2: Convert to fraction form
    6,992.68/9,638.04 = 4,630.72/x
  3. Step 3: Cross multiply
    6,992.68x = 9,638.04 × 4,630.72
  4. Step 4: Simplify right side
    6,992.68x = 44,631,064.59
  5. Step 5: Solve for x
    x = 44,631,064.59/6,992.68
  6. Step 6: Final answer
    x = 6,382.54

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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.