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Finding the Fourth Proportional to 8,330, 12,495 and 4,226

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Solution

The fourth proportional to 8,330, 12,495 and 4,226 is: 6,339

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,330 : 12,495 = 4,226 : x
  2. Step 2: Convert to fraction form
    8,330/12,495 = 4,226/x
  3. Step 3: Cross multiply
    8,330x = 12,495 × 4,226
  4. Step 4: Simplify right side
    8,330x = 52,803,870
  5. Step 5: Solve for x
    x = 52,803,870/8,330
  6. Step 6: Final answer
    x = 6,339

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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.