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Finding the Fourth Proportional to 6,497.81, 9,744.99 and 2,114.29

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Solution

The fourth proportional to 6,497.81, 9,744.99 and 2,114.29 is: 3,170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.81 : 9,744.99 = 2,114.29 : x
  2. Step 2: Convert to fraction form
    6,497.81/9,744.99 = 2,114.29/x
  3. Step 3: Cross multiply
    6,497.81x = 9,744.99 × 2,114.29
  4. Step 4: Simplify right side
    6,497.81x = 20,603,734.91
  5. Step 5: Solve for x
    x = 20,603,734.91/6,497.81
  6. Step 6: Final answer
    x = 3,170.87

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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.