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Finding the Fourth Proportional to 5,769.96, 8,647.44 and 4,193.96

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Solution

The fourth proportional to 5,769.96, 8,647.44 and 4,193.96 is: 6,285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.96 : 8,647.44 = 4,193.96 : x
  2. Step 2: Convert to fraction form
    5,769.96/8,647.44 = 4,193.96/x
  3. Step 3: Cross multiply
    5,769.96x = 8,647.44 × 4,193.96
  4. Step 4: Simplify right side
    5,769.96x = 36,267,017.46
  5. Step 5: Solve for x
    x = 36,267,017.46/5,769.96
  6. Step 6: Final answer
    x = 6,285.49

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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.