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Finding the Fourth Proportional to 5,606.94, 8,410.41 and 1,711.56

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Solution

The fourth proportional to 5,606.94, 8,410.41 and 1,711.56 is: 2,567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.94 : 8,410.41 = 1,711.56 : x
  2. Step 2: Convert to fraction form
    5,606.94/8,410.41 = 1,711.56/x
  3. Step 3: Cross multiply
    5,606.94x = 8,410.41 × 1,711.56
  4. Step 4: Simplify right side
    5,606.94x = 14,394,921.34
  5. Step 5: Solve for x
    x = 14,394,921.34/5,606.94
  6. Step 6: Final answer
    x = 2,567.34

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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.