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Finding the Fourth Proportional to 17,658.70, 26,485.67 and 6,563.86

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Solution

The fourth proportional to 17,658.70, 26,485.67 and 6,563.86 is: 9,844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658.70 : 26,485.67 = 6,563.86 : x
  2. Step 2: Convert to fraction form
    17,658.70/26,485.67 = 6,563.86/x
  3. Step 3: Cross multiply
    17,658.70x = 26,485.67 × 6,563.86
  4. Step 4: Simplify right side
    17,658.70x = 173,848,180.08
  5. Step 5: Solve for x
    x = 173,848,180.08/17,658.70
  6. Step 6: Final answer
    x = 9,844.90

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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.