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Finding the Fourth Proportional to 8,200.64, 12,300.96 and 2,653.86

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Solution

The fourth proportional to 8,200.64, 12,300.96 and 2,653.86 is: 3,980.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.64 : 12,300.96 = 2,653.86 : x
  2. Step 2: Convert to fraction form
    8,200.64/12,300.96 = 2,653.86/x
  3. Step 3: Cross multiply
    8,200.64x = 12,300.96 × 2,653.86
  4. Step 4: Simplify right side
    8,200.64x = 32,645,025.71
  5. Step 5: Solve for x
    x = 32,645,025.71/8,200.64
  6. Step 6: Final answer
    x = 3,980.79

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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.