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Finding the Fourth Proportional to 6,499.60, 9,743.70 and 3,860.60

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Solution

The fourth proportional to 6,499.60, 9,743.70 and 3,860.60 is: 5,787.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.60 : 9,743.70 = 3,860.60 : x
  2. Step 2: Convert to fraction form
    6,499.60/9,743.70 = 3,860.60/x
  3. Step 3: Cross multiply
    6,499.60x = 9,743.70 × 3,860.60
  4. Step 4: Simplify right side
    6,499.60x = 37,616,528.22
  5. Step 5: Solve for x
    x = 37,616,528.22/6,499.60
  6. Step 6: Final answer
    x = 5,787.51

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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.