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Finding the Fourth Proportional to 4,696.20, 6,513.03 and 4,480.20

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Solution

The fourth proportional to 4,696.20, 6,513.03 and 4,480.20 is: 6,213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.20 : 6,513.03 = 4,480.20 : x
  2. Step 2: Convert to fraction form
    4,696.20/6,513.03 = 4,480.20/x
  3. Step 3: Cross multiply
    4,696.20x = 6,513.03 × 4,480.20
  4. Step 4: Simplify right side
    4,696.20x = 29,179,677.01
  5. Step 5: Solve for x
    x = 29,179,677.01/4,696.20
  6. Step 6: Final answer
    x = 6,213.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.