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Finding the Fourth Proportional to 6,700.80, 10,047.84 and 2,083.20

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Solution

The fourth proportional to 6,700.80, 10,047.84 and 2,083.20 is: 3,123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.80 : 10,047.84 = 2,083.20 : x
  2. Step 2: Convert to fraction form
    6,700.80/10,047.84 = 2,083.20/x
  3. Step 3: Cross multiply
    6,700.80x = 10,047.84 × 2,083.20
  4. Step 4: Simplify right side
    6,700.80x = 20,931,660.29
  5. Step 5: Solve for x
    x = 20,931,660.29/6,700.80
  6. Step 6: Final answer
    x = 3,123.76

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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.