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Finding the Fourth Proportional to 6,203.92, 9,306.02 and 1,586.92

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Solution

The fourth proportional to 6,203.92, 9,306.02 and 1,586.92 is: 2,380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.92 : 9,306.02 = 1,586.92 : x
  2. Step 2: Convert to fraction form
    6,203.92/9,306.02 = 1,586.92/x
  3. Step 3: Cross multiply
    6,203.92x = 9,306.02 × 1,586.92
  4. Step 4: Simplify right side
    6,203.92x = 14,767,889.96
  5. Step 5: Solve for x
    x = 14,767,889.96/6,203.92
  6. Step 6: Final answer
    x = 2,380.41

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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.