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Finding the Fourth Proportional to 6,997.70, 9,658.81 and 4,609.42

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Solution

The fourth proportional to 6,997.70, 9,658.81 and 4,609.42 is: 6,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.70 : 9,658.81 = 4,609.42 : x
  2. Step 2: Convert to fraction form
    6,997.70/9,658.81 = 4,609.42/x
  3. Step 3: Cross multiply
    6,997.70x = 9,658.81 × 4,609.42
  4. Step 4: Simplify right side
    6,997.70x = 44,521,440.65
  5. Step 5: Solve for x
    x = 44,521,440.65/6,997.70
  6. Step 6: Final answer
    x = 6,362.30

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1.5x scale

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.