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Finding the Fourth Proportional to 6,659.60, 9,940.02 and 5,766.14

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Solution

The fourth proportional to 6,659.60, 9,940.02 and 5,766.14 is: 8,606.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.60 : 9,940.02 = 5,766.14 : x
  2. Step 2: Convert to fraction form
    6,659.60/9,940.02 = 5,766.14/x
  3. Step 3: Cross multiply
    6,659.60x = 9,940.02 × 5,766.14
  4. Step 4: Simplify right side
    6,659.60x = 57,315,468.39
  5. Step 5: Solve for x
    x = 57,315,468.39/6,659.60
  6. Step 6: Final answer
    x = 8,606.44

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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.