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Finding the Fourth Proportional to 6,817.68, 10,206.99 and 4,622.49

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Solution

The fourth proportional to 6,817.68, 10,206.99 and 4,622.49 is: 6,920.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.68 : 10,206.99 = 4,622.49 : x
  2. Step 2: Convert to fraction form
    6,817.68/10,206.99 = 4,622.49/x
  3. Step 3: Cross multiply
    6,817.68x = 10,206.99 × 4,622.49
  4. Step 4: Simplify right side
    6,817.68x = 47,181,709.21
  5. Step 5: Solve for x
    x = 47,181,709.21/6,817.68
  6. Step 6: Final answer
    x = 6,920.49

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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.