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Finding the Fourth Proportional to 4,605.84, 6,910.80 and 2,414.05

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Solution

The fourth proportional to 4,605.84, 6,910.80 and 2,414.05 is: 3,622.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.84 : 6,910.80 = 2,414.05 : x
  2. Step 2: Convert to fraction form
    4,605.84/6,910.80 = 2,414.05/x
  3. Step 3: Cross multiply
    4,605.84x = 6,910.80 × 2,414.05
  4. Step 4: Simplify right side
    4,605.84x = 16,682,982.19
  5. Step 5: Solve for x
    x = 16,682,982.19/4,605.84
  6. Step 6: Final answer
    x = 3,622.14

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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.