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Finding the Fourth Proportional to 8,191.80, 12,279.70 and 4,678.20

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Solution

The fourth proportional to 8,191.80, 12,279.70 and 4,678.20 is: 7,012.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.80 : 12,279.70 = 4,678.20 : x
  2. Step 2: Convert to fraction form
    8,191.80/12,279.70 = 4,678.20/x
  3. Step 3: Cross multiply
    8,191.80x = 12,279.70 × 4,678.20
  4. Step 4: Simplify right side
    8,191.80x = 57,446,892.54
  5. Step 5: Solve for x
    x = 57,446,892.54/8,191.80
  6. Step 6: Final answer
    x = 7,012.73

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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.