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Finding the Fourth Proportional to 7,321.98, 10,983.71 and 2,057.00

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Solution

The fourth proportional to 7,321.98, 10,983.71 and 2,057.00 is: 3,085.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.98 : 10,983.71 = 2,057.00 : x
  2. Step 2: Convert to fraction form
    7,321.98/10,983.71 = 2,057.00/x
  3. Step 3: Cross multiply
    7,321.98x = 10,983.71 × 2,057.00
  4. Step 4: Simplify right side
    7,321.98x = 22,593,508.64
  5. Step 5: Solve for x
    x = 22,593,508.64/7,321.98
  6. Step 6: Final answer
    x = 3,085.71

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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.