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Finding the Fourth Proportional to 5,047.65, 7,571.41 and 1,760.73

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Solution

The fourth proportional to 5,047.65, 7,571.41 and 1,760.73 is: 2,641.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.65 : 7,571.41 = 1,760.73 : x
  2. Step 2: Convert to fraction form
    5,047.65/7,571.41 = 1,760.73/x
  3. Step 3: Cross multiply
    5,047.65x = 7,571.41 × 1,760.73
  4. Step 4: Simplify right side
    5,047.65x = 13,331,208.73
  5. Step 5: Solve for x
    x = 13,331,208.73/5,047.65
  6. Step 6: Final answer
    x = 2,641.07

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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.