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Finding the Fourth Proportional to 4,493.91, 6,740.87 and 1,571.97

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Solution

The fourth proportional to 4,493.91, 6,740.87 and 1,571.97 is: 2,357.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.91 : 6,740.87 = 1,571.97 : x
  2. Step 2: Convert to fraction form
    4,493.91/6,740.87 = 1,571.97/x
  3. Step 3: Cross multiply
    4,493.91x = 6,740.87 × 1,571.97
  4. Step 4: Simplify right side
    4,493.91x = 10,596,437.55
  5. Step 5: Solve for x
    x = 10,596,437.55/4,493.91
  6. Step 6: Final answer
    x = 2,357.96

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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.