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Finding the Fourth Proportional to 4,906.77, 7,360.11 and 1,984.29

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Solution

The fourth proportional to 4,906.77, 7,360.11 and 1,984.29 is: 2,976.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.77 : 7,360.11 = 1,984.29 : x
  2. Step 2: Convert to fraction form
    4,906.77/7,360.11 = 1,984.29/x
  3. Step 3: Cross multiply
    4,906.77x = 7,360.11 × 1,984.29
  4. Step 4: Simplify right side
    4,906.77x = 14,604,592.67
  5. Step 5: Solve for x
    x = 14,604,592.67/4,906.77
  6. Step 6: Final answer
    x = 2,976.42

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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.