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Finding the Fourth Proportional to 6,979.01, 9,616.72 and 6,486.80

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Solution

The fourth proportional to 6,979.01, 9,616.72 and 6,486.80 is: 8,938.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,979.01 : 9,616.72 = 6,486.80 : x
  2. Step 2: Convert to fraction form
    6,979.01/9,616.72 = 6,486.80/x
  3. Step 3: Cross multiply
    6,979.01x = 9,616.72 × 6,486.80
  4. Step 4: Simplify right side
    6,979.01x = 62,381,739.30
  5. Step 5: Solve for x
    x = 62,381,739.30/6,979.01
  6. Step 6: Final answer
    x = 8,938.48

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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.