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Finding the Fourth Proportional to 8,198.10, 11,314.53 and 4,661.64

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Solution

The fourth proportional to 8,198.10, 11,314.53 and 4,661.64 is: 6,433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.10 : 11,314.53 = 4,661.64 : x
  2. Step 2: Convert to fraction form
    8,198.10/11,314.53 = 4,661.64/x
  3. Step 3: Cross multiply
    8,198.10x = 11,314.53 × 4,661.64
  4. Step 4: Simplify right side
    8,198.10x = 52,744,265.63
  5. Step 5: Solve for x
    x = 52,744,265.63/8,198.10
  6. Step 6: Final answer
    x = 6,433.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.