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Finding the Fourth Proportional to 5,270.74, 7,907.01 and 1,984.30

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Solution

The fourth proportional to 5,270.74, 7,907.01 and 1,984.30 is: 2,976.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.74 : 7,907.01 = 1,984.30 : x
  2. Step 2: Convert to fraction form
    5,270.74/7,907.01 = 1,984.30/x
  3. Step 3: Cross multiply
    5,270.74x = 7,907.01 × 1,984.30
  4. Step 4: Simplify right side
    5,270.74x = 15,689,879.94
  5. Step 5: Solve for x
    x = 15,689,879.94/5,270.74
  6. Step 6: Final answer
    x = 2,976.79

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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.