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Finding the Fourth Proportional to 6,497.96, 9,747.75 and 2,114.24

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Solution

The fourth proportional to 6,497.96, 9,747.75 and 2,114.24 is: 3,171.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.96 : 9,747.75 = 2,114.24 : x
  2. Step 2: Convert to fraction form
    6,497.96/9,747.75 = 2,114.24/x
  3. Step 3: Cross multiply
    6,497.96x = 9,747.75 × 2,114.24
  4. Step 4: Simplify right side
    6,497.96x = 20,609,082.96
  5. Step 5: Solve for x
    x = 20,609,082.96/6,497.96
  6. Step 6: Final answer
    x = 3,171.62

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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.