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Finding the Fourth Proportional to 6,509.56, 9,761.85 and 2,811.49

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Solution

The fourth proportional to 6,509.56, 9,761.85 and 2,811.49 is: 4,216.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.56 : 9,761.85 = 2,811.49 : x
  2. Step 2: Convert to fraction form
    6,509.56/9,761.85 = 2,811.49/x
  3. Step 3: Cross multiply
    6,509.56x = 9,761.85 × 2,811.49
  4. Step 4: Simplify right side
    6,509.56x = 27,445,343.66
  5. Step 5: Solve for x
    x = 27,445,343.66/6,509.56
  6. Step 6: Final answer
    x = 4,216.16

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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.