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Finding the Fourth Proportional to 6,655.26, 9,964.38 and 4,317.96

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Solution

The fourth proportional to 6,655.26, 9,964.38 and 4,317.96 is: 6,464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.26 : 9,964.38 = 4,317.96 : x
  2. Step 2: Convert to fraction form
    6,655.26/9,964.38 = 4,317.96/x
  3. Step 3: Cross multiply
    6,655.26x = 9,964.38 × 4,317.96
  4. Step 4: Simplify right side
    6,655.26x = 43,025,794.26
  5. Step 5: Solve for x
    x = 43,025,794.26/6,655.26
  6. Step 6: Final answer
    x = 6,464.93

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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.