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Finding the Fourth Proportional to 8,174.60, 12,263.76 and 2,980.44

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Solution

The fourth proportional to 8,174.60, 12,263.76 and 2,980.44 is: 4,471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.60 : 12,263.76 = 2,980.44 : x
  2. Step 2: Convert to fraction form
    8,174.60/12,263.76 = 2,980.44/x
  3. Step 3: Cross multiply
    8,174.60x = 12,263.76 × 2,980.44
  4. Step 4: Simplify right side
    8,174.60x = 36,551,400.85
  5. Step 5: Solve for x
    x = 36,551,400.85/8,174.60
  6. Step 6: Final answer
    x = 4,471.34

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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.