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Finding the Fourth Proportional to 5,769.73, 8,654.47 and 1,609.63

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Solution

The fourth proportional to 5,769.73, 8,654.47 and 1,609.63 is: 2,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.73 : 8,654.47 = 1,609.63 : x
  2. Step 2: Convert to fraction form
    5,769.73/8,654.47 = 1,609.63/x
  3. Step 3: Cross multiply
    5,769.73x = 8,654.47 × 1,609.63
  4. Step 4: Simplify right side
    5,769.73x = 13,930,443.23
  5. Step 5: Solve for x
    x = 13,930,443.23/5,769.73
  6. Step 6: Final answer
    x = 2,414.40

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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.