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Finding the Fourth Proportional to 5,606.92, 8,410.26 and 1,446.96

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Solution

The fourth proportional to 5,606.92, 8,410.26 and 1,446.96 is: 2,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.92 : 8,410.26 = 1,446.96 : x
  2. Step 2: Convert to fraction form
    5,606.92/8,410.26 = 1,446.96/x
  3. Step 3: Cross multiply
    5,606.92x = 8,410.26 × 1,446.96
  4. Step 4: Simplify right side
    5,606.92x = 12,169,309.81
  5. Step 5: Solve for x
    x = 12,169,309.81/5,606.92
  6. Step 6: Final answer
    x = 2,170.41

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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.