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Finding the Fourth Proportional to 11,659.26, 16,089.76 and 6,354.12

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Solution

The fourth proportional to 11,659.26, 16,089.76 and 6,354.12 is: 8,768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.26 : 16,089.76 = 6,354.12 : x
  2. Step 2: Convert to fraction form
    11,659.26/16,089.76 = 6,354.12/x
  3. Step 3: Cross multiply
    11,659.26x = 16,089.76 × 6,354.12
  4. Step 4: Simplify right side
    11,659.26x = 102,236,265.81
  5. Step 5: Solve for x
    x = 102,236,265.81/11,659.26
  6. Step 6: Final answer
    x = 8,768.68

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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.