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Finding the Fourth Proportional to 6,495.71, 9,744.59 and 2,112.14

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Solution

The fourth proportional to 6,495.71, 9,744.59 and 2,112.14 is: 3,168.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.71 : 9,744.59 = 2,112.14 : x
  2. Step 2: Convert to fraction form
    6,495.71/9,744.59 = 2,112.14/x
  3. Step 3: Cross multiply
    6,495.71x = 9,744.59 × 2,112.14
  4. Step 4: Simplify right side
    6,495.71x = 20,581,952.12
  5. Step 5: Solve for x
    x = 20,581,952.12/6,495.71
  6. Step 6: Final answer
    x = 3,168.55

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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.