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Finding the Fourth Proportional to 9,819.60, 14,729.40 and 6,910.88

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Solution

The fourth proportional to 9,819.60, 14,729.40 and 6,910.88 is: 10,366.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.60 : 14,729.40 = 6,910.88 : x
  2. Step 2: Convert to fraction form
    9,819.60/14,729.40 = 6,910.88/x
  3. Step 3: Cross multiply
    9,819.60x = 14,729.40 × 6,910.88
  4. Step 4: Simplify right side
    9,819.60x = 101,793,115.87
  5. Step 5: Solve for x
    x = 101,793,115.87/9,819.60
  6. Step 6: Final answer
    x = 10,366.32

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1.5x scale

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.