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Finding the Fourth Proportional to 6,234.49, 8,602.05 and 3,811.23

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Solution

The fourth proportional to 6,234.49, 8,602.05 and 3,811.23 is: 5,258.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.49 : 8,602.05 = 3,811.23 : x
  2. Step 2: Convert to fraction form
    6,234.49/8,602.05 = 3,811.23/x
  3. Step 3: Cross multiply
    6,234.49x = 8,602.05 × 3,811.23
  4. Step 4: Simplify right side
    6,234.49x = 32,784,391.02
  5. Step 5: Solve for x
    x = 32,784,391.02/6,234.49
  6. Step 6: Final answer
    x = 5,258.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.