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Finding the Fourth Proportional to 4,933.24, 7,400.52 and 1,812.84

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Solution

The fourth proportional to 4,933.24, 7,400.52 and 1,812.84 is: 2,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.24 : 7,400.52 = 1,812.84 : x
  2. Step 2: Convert to fraction form
    4,933.24/7,400.52 = 1,812.84/x
  3. Step 3: Cross multiply
    4,933.24x = 7,400.52 × 1,812.84
  4. Step 4: Simplify right side
    4,933.24x = 13,415,958.68
  5. Step 5: Solve for x
    x = 13,415,958.68/4,933.24
  6. Step 6: Final answer
    x = 2,719.50

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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.