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Finding the Fourth Proportional to 7,966.80, 11,944.80 and 4,219.20

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Solution

The fourth proportional to 7,966.80, 11,944.80 and 4,219.20 is: 6,325.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.80 : 11,944.80 = 4,219.20 : x
  2. Step 2: Convert to fraction form
    7,966.80/11,944.80 = 4,219.20/x
  3. Step 3: Cross multiply
    7,966.80x = 11,944.80 × 4,219.20
  4. Step 4: Simplify right side
    7,966.80x = 50,397,500.16
  5. Step 5: Solve for x
    x = 50,397,500.16/7,966.80
  6. Step 6: Final answer
    x = 6,325.94

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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.