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Finding the Fourth Proportional to 14,667, 22,000.50 and 6,459

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Solution

The fourth proportional to 14,667, 22,000.50 and 6,459 is: 9,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,667 : 22,000.50 = 6,459 : x
  2. Step 2: Convert to fraction form
    14,667/22,000.50 = 6,459/x
  3. Step 3: Cross multiply
    14,667x = 22,000.50 × 6,459
  4. Step 4: Simplify right side
    14,667x = 142,101,229.50
  5. Step 5: Solve for x
    x = 142,101,229.50/14,667
  6. Step 6: Final answer
    x = 9,688.50

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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.