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Finding the Fourth Proportional to 4,933.09, 7,400.12 and 1,423.18

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Solution

The fourth proportional to 4,933.09, 7,400.12 and 1,423.18 is: 2,134.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.09 : 7,400.12 = 1,423.18 : x
  2. Step 2: Convert to fraction form
    4,933.09/7,400.12 = 1,423.18/x
  3. Step 3: Cross multiply
    4,933.09x = 7,400.12 × 1,423.18
  4. Step 4: Simplify right side
    4,933.09x = 10,531,687.84
  5. Step 5: Solve for x
    x = 10,531,687.84/4,933.09
  6. Step 6: Final answer
    x = 2,134.91

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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.