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Finding the Fourth Proportional to 6,509.14, 9,765.15 and 3,044.50

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Solution

The fourth proportional to 6,509.14, 9,765.15 and 3,044.50 is: 4,567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.14 : 9,765.15 = 3,044.50 : x
  2. Step 2: Convert to fraction form
    6,509.14/9,765.15 = 3,044.50/x
  3. Step 3: Cross multiply
    6,509.14x = 9,765.15 × 3,044.50
  4. Step 4: Simplify right side
    6,509.14x = 29,729,999.18
  5. Step 5: Solve for x
    x = 29,729,999.18/6,509.14
  6. Step 6: Final answer
    x = 4,567.42

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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.