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Finding the Fourth Proportional to 6,980.38, 10,472.12 and 2,301.84

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Solution

The fourth proportional to 6,980.38, 10,472.12 and 2,301.84 is: 3,453.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.38 : 10,472.12 = 2,301.84 : x
  2. Step 2: Convert to fraction form
    6,980.38/10,472.12 = 2,301.84/x
  3. Step 3: Cross multiply
    6,980.38x = 10,472.12 × 2,301.84
  4. Step 4: Simplify right side
    6,980.38x = 24,105,144.70
  5. Step 5: Solve for x
    x = 24,105,144.70/6,980.38
  6. Step 6: Final answer
    x = 3,453.27

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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.