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Finding the Fourth Proportional to 6,294.38, 8,623.37 and 6,057.96

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Solution

The fourth proportional to 6,294.38, 8,623.37 and 6,057.96 is: 8,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.38 : 8,623.37 = 6,057.96 : x
  2. Step 2: Convert to fraction form
    6,294.38/8,623.37 = 6,057.96/x
  3. Step 3: Cross multiply
    6,294.38x = 8,623.37 × 6,057.96
  4. Step 4: Simplify right side
    6,294.38x = 52,240,000.24
  5. Step 5: Solve for x
    x = 52,240,000.24/6,294.38
  6. Step 6: Final answer
    x = 8,299.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.