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Finding the Fourth Proportional to 6,950.40, 9,586.92 and 4,294.44

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Solution

The fourth proportional to 6,950.40, 9,586.92 and 4,294.44 is: 5,923.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.40 : 9,586.92 = 4,294.44 : x
  2. Step 2: Convert to fraction form
    6,950.40/9,586.92 = 4,294.44/x
  3. Step 3: Cross multiply
    6,950.40x = 9,586.92 × 4,294.44
  4. Step 4: Simplify right side
    6,950.40x = 41,170,452.72
  5. Step 5: Solve for x
    x = 41,170,452.72/6,950.40
  6. Step 6: Final answer
    x = 5,923.47

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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.