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Finding the Fourth Proportional to 6,201.54, 8,552.25 and 4,946.70

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Solution

The fourth proportional to 6,201.54, 8,552.25 and 4,946.70 is: 6,821.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.54 : 8,552.25 = 4,946.70 : x
  2. Step 2: Convert to fraction form
    6,201.54/8,552.25 = 4,946.70/x
  3. Step 3: Cross multiply
    6,201.54x = 8,552.25 × 4,946.70
  4. Step 4: Simplify right side
    6,201.54x = 42,305,415.08
  5. Step 5: Solve for x
    x = 42,305,415.08/6,201.54
  6. Step 6: Final answer
    x = 6,821.76

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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.