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Finding the Fourth Proportional to 6,496.57, 9,745.47 and 1,816.58

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Solution

The fourth proportional to 6,496.57, 9,745.47 and 1,816.58 is: 2,725.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.57 : 9,745.47 = 1,816.58 : x
  2. Step 2: Convert to fraction form
    6,496.57/9,745.47 = 1,816.58/x
  3. Step 3: Cross multiply
    6,496.57x = 9,745.47 × 1,816.58
  4. Step 4: Simplify right side
    6,496.57x = 17,703,373.01
  5. Step 5: Solve for x
    x = 17,703,373.01/6,496.57
  6. Step 6: Final answer
    x = 2,725.04

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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.