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Finding the Fourth Proportional to 9,843.02, 13,583.19 and 5,650.94

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Solution

The fourth proportional to 9,843.02, 13,583.19 and 5,650.94 is: 7,798.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.02 : 13,583.19 = 5,650.94 : x
  2. Step 2: Convert to fraction form
    9,843.02/13,583.19 = 5,650.94/x
  3. Step 3: Cross multiply
    9,843.02x = 13,583.19 × 5,650.94
  4. Step 4: Simplify right side
    9,843.02x = 76,757,791.70
  5. Step 5: Solve for x
    x = 76,757,791.70/9,843.02
  6. Step 6: Final answer
    x = 7,798.20

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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.