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Finding the Fourth Proportional to 6,651.38, 9,177.57 and 5,057.60

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Solution

The fourth proportional to 6,651.38, 9,177.57 and 5,057.60 is: 6,978.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.38 : 9,177.57 = 5,057.60 : x
  2. Step 2: Convert to fraction form
    6,651.38/9,177.57 = 5,057.60/x
  3. Step 3: Cross multiply
    6,651.38x = 9,177.57 × 5,057.60
  4. Step 4: Simplify right side
    6,651.38x = 46,416,478.03
  5. Step 5: Solve for x
    x = 46,416,478.03/6,651.38
  6. Step 6: Final answer
    x = 6,978.47

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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.