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Finding the Fourth Proportional to 12,354.50, 17,049.30 and 6,765.50

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Solution

The fourth proportional to 12,354.50, 17,049.30 and 6,765.50 is: 9,336.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354.50 : 17,049.30 = 6,765.50 : x
  2. Step 2: Convert to fraction form
    12,354.50/17,049.30 = 6,765.50/x
  3. Step 3: Cross multiply
    12,354.50x = 17,049.30 × 6,765.50
  4. Step 4: Simplify right side
    12,354.50x = 115,347,039.15
  5. Step 5: Solve for x
    x = 115,347,039.15/12,354.50
  6. Step 6: Final answer
    x = 9,336.44

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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.