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Finding the Fourth Proportional to 6,509.82, 9,765 and 1,892.82

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Solution

The fourth proportional to 6,509.82, 9,765 and 1,892.82 is: 2,839.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.82 : 9,765 = 1,892.82 : x
  2. Step 2: Convert to fraction form
    6,509.82/9,765 = 1,892.82/x
  3. Step 3: Cross multiply
    6,509.82x = 9,765 × 1,892.82
  4. Step 4: Simplify right side
    6,509.82x = 18,483,387.30
  5. Step 5: Solve for x
    x = 18,483,387.30/6,509.82
  6. Step 6: Final answer
    x = 2,839.31

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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.