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Finding the Fourth Proportional to 6,219.98, 9,329.97 and 4,742.54

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Solution

The fourth proportional to 6,219.98, 9,329.97 and 4,742.54 is: 7,113.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,219.98 : 9,329.97 = 4,742.54 : x
  2. Step 2: Convert to fraction form
    6,219.98/9,329.97 = 4,742.54/x
  3. Step 3: Cross multiply
    6,219.98x = 9,329.97 × 4,742.54
  4. Step 4: Simplify right side
    6,219.98x = 44,247,755.92
  5. Step 5: Solve for x
    x = 44,247,755.92/6,219.98
  6. Step 6: Final answer
    x = 7,113.81

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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.