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Finding the Fourth Proportional to 6,576.56, 9,074.84 and 3,923.44

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Solution

The fourth proportional to 6,576.56, 9,074.84 and 3,923.44 is: 5,413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.56 : 9,074.84 = 3,923.44 : x
  2. Step 2: Convert to fraction form
    6,576.56/9,074.84 = 3,923.44/x
  3. Step 3: Cross multiply
    6,576.56x = 9,074.84 × 3,923.44
  4. Step 4: Simplify right side
    6,576.56x = 35,604,547.95
  5. Step 5: Solve for x
    x = 35,604,547.95/6,576.56
  6. Step 6: Final answer
    x = 5,413.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.