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Finding the Fourth Proportional to 6,583.28, 9,790.20 and 6,375.60

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Solution

The fourth proportional to 6,583.28, 9,790.20 and 6,375.60 is: 9,481.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.28 : 9,790.20 = 6,375.60 : x
  2. Step 2: Convert to fraction form
    6,583.28/9,790.20 = 6,375.60/x
  3. Step 3: Cross multiply
    6,583.28x = 9,790.20 × 6,375.60
  4. Step 4: Simplify right side
    6,583.28x = 62,418,399.12
  5. Step 5: Solve for x
    x = 62,418,399.12/6,583.28
  6. Step 6: Final answer
    x = 9,481.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.