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Finding the Fourth Proportional to 23,101, 34,651.50 and 6,685

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Solution

The fourth proportional to 23,101, 34,651.50 and 6,685 is: 10,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,101 : 34,651.50 = 6,685 : x
  2. Step 2: Convert to fraction form
    23,101/34,651.50 = 6,685/x
  3. Step 3: Cross multiply
    23,101x = 34,651.50 × 6,685
  4. Step 4: Simplify right side
    23,101x = 231,645,277.50
  5. Step 5: Solve for x
    x = 231,645,277.50/23,101
  6. Step 6: Final answer
    x = 10,027.50

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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.