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Finding the Fourth Proportional to 4,983.58, 7,480.77 and 4,213.12

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Solution

The fourth proportional to 4,983.58, 7,480.77 and 4,213.12 is: 6,324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,983.58 : 7,480.77 = 4,213.12 : x
  2. Step 2: Convert to fraction form
    4,983.58/7,480.77 = 4,213.12/x
  3. Step 3: Cross multiply
    4,983.58x = 7,480.77 × 4,213.12
  4. Step 4: Simplify right side
    4,983.58x = 31,517,381.70
  5. Step 5: Solve for x
    x = 31,517,381.70/4,983.58
  6. Step 6: Final answer
    x = 6,324.25

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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.