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Finding the Fourth Proportional to 6,497.97, 9,747.64 and 2,114.86

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Solution

The fourth proportional to 6,497.97, 9,747.64 and 2,114.86 is: 3,172.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.97 : 9,747.64 = 2,114.86 : x
  2. Step 2: Convert to fraction form
    6,497.97/9,747.64 = 2,114.86/x
  3. Step 3: Cross multiply
    6,497.97x = 9,747.64 × 2,114.86
  4. Step 4: Simplify right side
    6,497.97x = 20,614,890.48
  5. Step 5: Solve for x
    x = 20,614,890.48/6,497.97
  6. Step 6: Final answer
    x = 3,172.51

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1.5x scale

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.