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Finding the Fourth Proportional to 9,658.54, 14,486.73 and 2,732.50

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Solution

The fourth proportional to 9,658.54, 14,486.73 and 2,732.50 is: 4,098.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.54 : 14,486.73 = 2,732.50 : x
  2. Step 2: Convert to fraction form
    9,658.54/14,486.73 = 2,732.50/x
  3. Step 3: Cross multiply
    9,658.54x = 14,486.73 × 2,732.50
  4. Step 4: Simplify right side
    9,658.54x = 39,584,989.73
  5. Step 5: Solve for x
    x = 39,584,989.73/9,658.54
  6. Step 6: Final answer
    x = 4,098.44

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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.