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Finding the Fourth Proportional to 17,658.56, 26,485.48 and 6,563.74

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Solution

The fourth proportional to 17,658.56, 26,485.48 and 6,563.74 is: 9,844.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658.56 : 26,485.48 = 6,563.74 : x
  2. Step 2: Convert to fraction form
    17,658.56/26,485.48 = 6,563.74/x
  3. Step 3: Cross multiply
    17,658.56x = 26,485.48 × 6,563.74
  4. Step 4: Simplify right side
    17,658.56x = 173,843,804.50
  5. Step 5: Solve for x
    x = 173,843,804.50/17,658.56
  6. Step 6: Final answer
    x = 9,844.73

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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.