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Finding the Fourth Proportional to 4,835.28, 7,242.09 and 4,202.47

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Solution

The fourth proportional to 4,835.28, 7,242.09 and 4,202.47 is: 6,294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,835.28 : 7,242.09 = 4,202.47 : x
  2. Step 2: Convert to fraction form
    4,835.28/7,242.09 = 4,202.47/x
  3. Step 3: Cross multiply
    4,835.28x = 7,242.09 × 4,202.47
  4. Step 4: Simplify right side
    4,835.28x = 30,434,665.96
  5. Step 5: Solve for x
    x = 30,434,665.96/4,835.28
  6. Step 6: Final answer
    x = 6,294.29

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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.