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Finding the Fourth Proportional to 4,901.97, 7,354.33 and 1,982.33

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Solution

The fourth proportional to 4,901.97, 7,354.33 and 1,982.33 is: 2,974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.97 : 7,354.33 = 1,982.33 : x
  2. Step 2: Convert to fraction form
    4,901.97/7,354.33 = 1,982.33/x
  3. Step 3: Cross multiply
    4,901.97x = 7,354.33 × 1,982.33
  4. Step 4: Simplify right side
    4,901.97x = 14,578,693.08
  5. Step 5: Solve for x
    x = 14,578,693.08/4,901.97
  6. Step 6: Final answer
    x = 2,974.05

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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.