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Finding the Fourth Proportional to 8,189.60, 12,294.77 and 6,819.68

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Solution

The fourth proportional to 8,189.60, 12,294.77 and 6,819.68 is: 10,238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.60 : 12,294.77 = 6,819.68 : x
  2. Step 2: Convert to fraction form
    8,189.60/12,294.77 = 6,819.68/x
  3. Step 3: Cross multiply
    8,189.60x = 12,294.77 × 6,819.68
  4. Step 4: Simplify right side
    8,189.60x = 83,846,393.71
  5. Step 5: Solve for x
    x = 83,846,393.71/8,189.60
  6. Step 6: Final answer
    x = 10,238.16

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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.