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Finding the Fourth Proportional to 12,654.80, 18,993.68 and 6,419.15

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Solution

The fourth proportional to 12,654.80, 18,993.68 and 6,419.15 is: 9,634.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654.80 : 18,993.68 = 6,419.15 : x
  2. Step 2: Convert to fraction form
    12,654.80/18,993.68 = 6,419.15/x
  3. Step 3: Cross multiply
    12,654.80x = 18,993.68 × 6,419.15
  4. Step 4: Simplify right side
    12,654.80x = 121,923,248.88
  5. Step 5: Solve for x
    x = 121,923,248.88/12,654.80
  6. Step 6: Final answer
    x = 9,634.55

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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.