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Finding the Fourth Proportional to 6,814.14, 10,221.20 and 2,710.14

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Solution

The fourth proportional to 6,814.14, 10,221.20 and 2,710.14 is: 4,065.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.14 : 10,221.20 = 2,710.14 : x
  2. Step 2: Convert to fraction form
    6,814.14/10,221.20 = 2,710.14/x
  3. Step 3: Cross multiply
    6,814.14x = 10,221.20 × 2,710.14
  4. Step 4: Simplify right side
    6,814.14x = 27,700,882.97
  5. Step 5: Solve for x
    x = 27,700,882.97/6,814.14
  6. Step 6: Final answer
    x = 4,065.21

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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.