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Finding the Fourth Proportional to 6,553.69, 9,830.61 and 3,650.44

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Solution

The fourth proportional to 6,553.69, 9,830.61 and 3,650.44 is: 5,475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.69 : 9,830.61 = 3,650.44 : x
  2. Step 2: Convert to fraction form
    6,553.69/9,830.61 = 3,650.44/x
  3. Step 3: Cross multiply
    6,553.69x = 9,830.61 × 3,650.44
  4. Step 4: Simplify right side
    6,553.69x = 35,886,051.97
  5. Step 5: Solve for x
    x = 35,886,051.97/6,553.69
  6. Step 6: Final answer
    x = 5,475.70

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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.