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Finding the Fourth Proportional to 6,559.84, 9,796.28 and 5,764.96

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Solution

The fourth proportional to 6,559.84, 9,796.28 and 5,764.96 is: 8,609.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.84 : 9,796.28 = 5,764.96 : x
  2. Step 2: Convert to fraction form
    6,559.84/9,796.28 = 5,764.96/x
  3. Step 3: Cross multiply
    6,559.84x = 9,796.28 × 5,764.96
  4. Step 4: Simplify right side
    6,559.84x = 56,475,162.35
  5. Step 5: Solve for x
    x = 56,475,162.35/6,559.84
  6. Step 6: Final answer
    x = 8,609.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.