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Finding the Fourth Proportional to 13,613.64, 18,784.42 and 8,310.17

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Solution

The fourth proportional to 13,613.64, 18,784.42 and 8,310.17 is: 11,466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.64 : 18,784.42 = 8,310.17 : x
  2. Step 2: Convert to fraction form
    13,613.64/18,784.42 = 8,310.17/x
  3. Step 3: Cross multiply
    13,613.64x = 18,784.42 × 8,310.17
  4. Step 4: Simplify right side
    13,613.64x = 156,101,608.85
  5. Step 5: Solve for x
    x = 156,101,608.85/13,613.64
  6. Step 6: Final answer
    x = 11,466.56

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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.