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Finding the Fourth Proportional to 4,654.56, 6,982.13 and 1,732.89

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Solution

The fourth proportional to 4,654.56, 6,982.13 and 1,732.89 is: 2,599.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.56 : 6,982.13 = 1,732.89 : x
  2. Step 2: Convert to fraction form
    4,654.56/6,982.13 = 1,732.89/x
  3. Step 3: Cross multiply
    4,654.56x = 6,982.13 × 1,732.89
  4. Step 4: Simplify right side
    4,654.56x = 12,099,263.26
  5. Step 5: Solve for x
    x = 12,099,263.26/4,654.56
  6. Step 6: Final answer
    x = 2,599.44

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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.