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Finding the Fourth Proportional to 6,397.58, 9,596.64 and 2,238.02

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Solution

The fourth proportional to 6,397.58, 9,596.64 and 2,238.02 is: 3,357.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.58 : 9,596.64 = 2,238.02 : x
  2. Step 2: Convert to fraction form
    6,397.58/9,596.64 = 2,238.02/x
  3. Step 3: Cross multiply
    6,397.58x = 9,596.64 × 2,238.02
  4. Step 4: Simplify right side
    6,397.58x = 21,477,472.25
  5. Step 5: Solve for x
    x = 21,477,472.25/6,397.58
  6. Step 6: Final answer
    x = 3,357.12

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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.