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Finding the Fourth Proportional to 6,496.40, 9,737.64 and 3,373.28

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Solution

The fourth proportional to 6,496.40, 9,737.64 and 3,373.28 is: 5,056.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.40 : 9,737.64 = 3,373.28 : x
  2. Step 2: Convert to fraction form
    6,496.40/9,737.64 = 3,373.28/x
  3. Step 3: Cross multiply
    6,496.40x = 9,737.64 × 3,373.28
  4. Step 4: Simplify right side
    6,496.40x = 32,847,786.26
  5. Step 5: Solve for x
    x = 32,847,786.26/6,496.40
  6. Step 6: Final answer
    x = 5,056.31

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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.