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Finding the Fourth Proportional to 6,663.79, 9,997.98 and 2,968.57

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Solution

The fourth proportional to 6,663.79, 9,997.98 and 2,968.57 is: 4,453.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.79 : 9,997.98 = 2,968.57 : x
  2. Step 2: Convert to fraction form
    6,663.79/9,997.98 = 2,968.57/x
  3. Step 3: Cross multiply
    6,663.79x = 9,997.98 × 2,968.57
  4. Step 4: Simplify right side
    6,663.79x = 29,679,703.49
  5. Step 5: Solve for x
    x = 29,679,703.49/6,663.79
  6. Step 6: Final answer
    x = 4,453.88

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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.