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Finding the Fourth Proportional to 8,313, 12,469.50 and 4,209

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Solution

The fourth proportional to 8,313, 12,469.50 and 4,209 is: 6,313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313 : 12,469.50 = 4,209 : x
  2. Step 2: Convert to fraction form
    8,313/12,469.50 = 4,209/x
  3. Step 3: Cross multiply
    8,313x = 12,469.50 × 4,209
  4. Step 4: Simplify right side
    8,313x = 52,484,125.50
  5. Step 5: Solve for x
    x = 52,484,125.50/8,313
  6. Step 6: Final answer
    x = 6,313.50

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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.