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Finding the Fourth Proportional to 8,162.80, 12,247.23 and 4,650.64

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Solution

The fourth proportional to 8,162.80, 12,247.23 and 4,650.64 is: 6,977.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.80 : 12,247.23 = 4,650.64 : x
  2. Step 2: Convert to fraction form
    8,162.80/12,247.23 = 4,650.64/x
  3. Step 3: Cross multiply
    8,162.80x = 12,247.23 × 4,650.64
  4. Step 4: Simplify right side
    8,162.80x = 56,957,444.55
  5. Step 5: Solve for x
    x = 56,957,444.55/8,162.80
  6. Step 6: Final answer
    x = 6,977.69

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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.