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Finding the Fourth Proportional to 6,509.90, 9,764.82 and 1,579.57

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Solution

The fourth proportional to 6,509.90, 9,764.82 and 1,579.57 is: 2,369.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.90 : 9,764.82 = 1,579.57 : x
  2. Step 2: Convert to fraction form
    6,509.90/9,764.82 = 1,579.57/x
  3. Step 3: Cross multiply
    6,509.90x = 9,764.82 × 1,579.57
  4. Step 4: Simplify right side
    6,509.90x = 15,424,192.32
  5. Step 5: Solve for x
    x = 15,424,192.32/6,509.90
  6. Step 6: Final answer
    x = 2,369.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.