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Finding the Fourth Proportional to 5,983.70, 8,974.85 and 1,601.51

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Solution

The fourth proportional to 5,983.70, 8,974.85 and 1,601.51 is: 2,402.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.70 : 8,974.85 = 1,601.51 : x
  2. Step 2: Convert to fraction form
    5,983.70/8,974.85 = 1,601.51/x
  3. Step 3: Cross multiply
    5,983.70x = 8,974.85 × 1,601.51
  4. Step 4: Simplify right side
    5,983.70x = 14,373,259.14
  5. Step 5: Solve for x
    x = 14,373,259.14/5,983.70
  6. Step 6: Final answer
    x = 2,402.07

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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.