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Finding the Fourth Proportional to 4,927.20, 7,382.70 and 4,198.20

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Solution

The fourth proportional to 4,927.20, 7,382.70 and 4,198.20 is: 6,290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.20 : 7,382.70 = 4,198.20 : x
  2. Step 2: Convert to fraction form
    4,927.20/7,382.70 = 4,198.20/x
  3. Step 3: Cross multiply
    4,927.20x = 7,382.70 × 4,198.20
  4. Step 4: Simplify right side
    4,927.20x = 30,994,051.14
  5. Step 5: Solve for x
    x = 30,994,051.14/4,927.20
  6. Step 6: Final answer
    x = 6,290.40

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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.