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Finding the Fourth Proportional to 6,891.44, 9,510.08 and 3,747.76

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Solution

The fourth proportional to 6,891.44, 9,510.08 and 3,747.76 is: 5,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.44 : 9,510.08 = 3,747.76 : x
  2. Step 2: Convert to fraction form
    6,891.44/9,510.08 = 3,747.76/x
  3. Step 3: Cross multiply
    6,891.44x = 9,510.08 × 3,747.76
  4. Step 4: Simplify right side
    6,891.44x = 35,641,497.42
  5. Step 5: Solve for x
    x = 35,641,497.42/6,891.44
  6. Step 6: Final answer
    x = 5,171.85

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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.