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Finding the Fourth Proportional to 5,267.60, 7,901.90 and 1,983.04

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Solution

The fourth proportional to 5,267.60, 7,901.90 and 1,983.04 is: 2,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.60 : 7,901.90 = 1,983.04 : x
  2. Step 2: Convert to fraction form
    5,267.60/7,901.90 = 1,983.04/x
  3. Step 3: Cross multiply
    5,267.60x = 7,901.90 × 1,983.04
  4. Step 4: Simplify right side
    5,267.60x = 15,669,783.78
  5. Step 5: Solve for x
    x = 15,669,783.78/5,267.60
  6. Step 6: Final answer
    x = 2,974.75

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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.