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Finding the Fourth Proportional to 6,497.56, 9,747.72 and 2,114.92

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Solution

The fourth proportional to 6,497.56, 9,747.72 and 2,114.92 is: 3,172.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.56 : 9,747.72 = 2,114.92 : x
  2. Step 2: Convert to fraction form
    6,497.56/9,747.72 = 2,114.92/x
  3. Step 3: Cross multiply
    6,497.56x = 9,747.72 × 2,114.92
  4. Step 4: Simplify right side
    6,497.56x = 20,615,647.98
  5. Step 5: Solve for x
    x = 20,615,647.98/6,497.56
  6. Step 6: Final answer
    x = 3,172.83

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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.