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Finding the Fourth Proportional to 12,318.50, 16,999.54 and 6,729.50

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Solution

The fourth proportional to 12,318.50, 16,999.54 and 6,729.50 is: 9,286.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,318.50 : 16,999.54 = 6,729.50 : x
  2. Step 2: Convert to fraction form
    12,318.50/16,999.54 = 6,729.50/x
  3. Step 3: Cross multiply
    12,318.50x = 16,999.54 × 6,729.50
  4. Step 4: Simplify right side
    12,318.50x = 114,398,404.43
  5. Step 5: Solve for x
    x = 114,398,404.43/12,318.50
  6. Step 6: Final answer
    x = 9,286.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.