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Finding the Fourth Proportional to 5,471.94, 8,205.96 and 1,575.54

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Solution

The fourth proportional to 5,471.94, 8,205.96 and 1,575.54 is: 2,362.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.94 : 8,205.96 = 1,575.54 : x
  2. Step 2: Convert to fraction form
    5,471.94/8,205.96 = 1,575.54/x
  3. Step 3: Cross multiply
    5,471.94x = 8,205.96 × 1,575.54
  4. Step 4: Simplify right side
    5,471.94x = 12,928,818.22
  5. Step 5: Solve for x
    x = 12,928,818.22/5,471.94
  6. Step 6: Final answer
    x = 2,362.75

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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.