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Finding the Fourth Proportional to 4,949.80, 6,833.92 and 4,417.78

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Solution

The fourth proportional to 4,949.80, 6,833.92 and 4,417.78 is: 6,099.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.80 : 6,833.92 = 4,417.78 : x
  2. Step 2: Convert to fraction form
    4,949.80/6,833.92 = 4,417.78/x
  3. Step 3: Cross multiply
    4,949.80x = 6,833.92 × 4,417.78
  4. Step 4: Simplify right side
    4,949.80x = 30,190,755.10
  5. Step 5: Solve for x
    x = 30,190,755.10/4,949.80
  6. Step 6: Final answer
    x = 6,099.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.