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Finding the Fourth Proportional to 6,190.40, 9,266.40 and 4,462.40

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Solution

The fourth proportional to 6,190.40, 9,266.40 and 4,462.40 is: 6,679.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.40 : 9,266.40 = 4,462.40 : x
  2. Step 2: Convert to fraction form
    6,190.40/9,266.40 = 4,462.40/x
  3. Step 3: Cross multiply
    6,190.40x = 9,266.40 × 4,462.40
  4. Step 4: Simplify right side
    6,190.40x = 41,350,383.36
  5. Step 5: Solve for x
    x = 41,350,383.36/6,190.40
  6. Step 6: Final answer
    x = 6,679.76

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1.5x scale

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.