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Finding the Fourth Proportional to 4,654.39, 6,982.04 and 1,533.12

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Solution

The fourth proportional to 4,654.39, 6,982.04 and 1,533.12 is: 2,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.39 : 6,982.04 = 1,533.12 : x
  2. Step 2: Convert to fraction form
    4,654.39/6,982.04 = 1,533.12/x
  3. Step 3: Cross multiply
    4,654.39x = 6,982.04 × 1,533.12
  4. Step 4: Simplify right side
    4,654.39x = 10,704,305.16
  5. Step 5: Solve for x
    x = 10,704,305.16/4,654.39
  6. Step 6: Final answer
    x = 2,299.83

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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.