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Finding the Fourth Proportional to 6,997.04, 9,658.92 and 4,202

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Solution

The fourth proportional to 6,997.04, 9,658.92 and 4,202 is: 5,800.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.04 : 9,658.92 = 4,202 : x
  2. Step 2: Convert to fraction form
    6,997.04/9,658.92 = 4,202/x
  3. Step 3: Cross multiply
    6,997.04x = 9,658.92 × 4,202
  4. Step 4: Simplify right side
    6,997.04x = 40,586,781.84
  5. Step 5: Solve for x
    x = 40,586,781.84/6,997.04
  6. Step 6: Final answer
    x = 5,800.56

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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.