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Finding the Fourth Proportional to 11,658.50, 17,489.68 and 4,638.58

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Solution

The fourth proportional to 11,658.50, 17,489.68 and 4,638.58 is: 6,958.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.50 : 17,489.68 = 4,638.58 : x
  2. Step 2: Convert to fraction form
    11,658.50/17,489.68 = 4,638.58/x
  3. Step 3: Cross multiply
    11,658.50x = 17,489.68 × 4,638.58
  4. Step 4: Simplify right side
    11,658.50x = 81,127,279.85
  5. Step 5: Solve for x
    x = 81,127,279.85/11,658.50
  6. Step 6: Final answer
    x = 6,958.64

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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.