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Finding the Fourth Proportional to 4,654.13, 6,983.12 and 1,882.76

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Solution

The fourth proportional to 4,654.13, 6,983.12 and 1,882.76 is: 2,824.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.13 : 6,983.12 = 1,882.76 : x
  2. Step 2: Convert to fraction form
    4,654.13/6,983.12 = 1,882.76/x
  3. Step 3: Cross multiply
    4,654.13x = 6,983.12 × 1,882.76
  4. Step 4: Simplify right side
    4,654.13x = 13,147,508.80
  5. Step 5: Solve for x
    x = 13,147,508.80/4,654.13
  6. Step 6: Final answer
    x = 2,824.92

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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.