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Finding the Fourth Proportional to 5,497.12, 8,245.68 and 1,601.56

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Solution

The fourth proportional to 5,497.12, 8,245.68 and 1,601.56 is: 2,402.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.12 : 8,245.68 = 1,601.56 : x
  2. Step 2: Convert to fraction form
    5,497.12/8,245.68 = 1,601.56/x
  3. Step 3: Cross multiply
    5,497.12x = 8,245.68 × 1,601.56
  4. Step 4: Simplify right side
    5,497.12x = 13,205,951.26
  5. Step 5: Solve for x
    x = 13,205,951.26/5,497.12
  6. Step 6: Final answer
    x = 2,402.34

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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.