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Finding the Fourth Proportional to 8,497.67, 12,748.67 and 2,654.33

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Solution

The fourth proportional to 8,497.67, 12,748.67 and 2,654.33 is: 3,982.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.67 : 12,748.67 = 2,654.33 : x
  2. Step 2: Convert to fraction form
    8,497.67/12,748.67 = 2,654.33/x
  3. Step 3: Cross multiply
    8,497.67x = 12,748.67 × 2,654.33
  4. Step 4: Simplify right side
    8,497.67x = 33,839,100.23
  5. Step 5: Solve for x
    x = 33,839,100.23/8,497.67
  6. Step 6: Final answer
    x = 3,982.16

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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.