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Finding the Fourth Proportional to 4,825.74, 7,241.04 and 2,230.50

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Solution

The fourth proportional to 4,825.74, 7,241.04 and 2,230.50 is: 3,346.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825.74 : 7,241.04 = 2,230.50 : x
  2. Step 2: Convert to fraction form
    4,825.74/7,241.04 = 2,230.50/x
  3. Step 3: Cross multiply
    4,825.74x = 7,241.04 × 2,230.50
  4. Step 4: Simplify right side
    4,825.74x = 16,151,139.72
  5. Step 5: Solve for x
    x = 16,151,139.72/4,825.74
  6. Step 6: Final answer
    x = 3,346.87

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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.