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Finding the Fourth Proportional to 6,821.70, 10,232.55 and 4,737.30

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Solution

The fourth proportional to 6,821.70, 10,232.55 and 4,737.30 is: 7,105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.70 : 10,232.55 = 4,737.30 : x
  2. Step 2: Convert to fraction form
    6,821.70/10,232.55 = 4,737.30/x
  3. Step 3: Cross multiply
    6,821.70x = 10,232.55 × 4,737.30
  4. Step 4: Simplify right side
    6,821.70x = 48,474,659.12
  5. Step 5: Solve for x
    x = 48,474,659.12/6,821.70
  6. Step 6: Final answer
    x = 7,105.95

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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.