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Finding the Fourth Proportional to 8,202.01, 12,303.09 and 6,231.74

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Solution

The fourth proportional to 8,202.01, 12,303.09 and 6,231.74 is: 9,347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.01 : 12,303.09 = 6,231.74 : x
  2. Step 2: Convert to fraction form
    8,202.01/12,303.09 = 6,231.74/x
  3. Step 3: Cross multiply
    8,202.01x = 12,303.09 × 6,231.74
  4. Step 4: Simplify right side
    8,202.01x = 76,669,596.56
  5. Step 5: Solve for x
    x = 76,669,596.56/8,202.01
  6. Step 6: Final answer
    x = 9,347.66

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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.