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Finding the Fourth Proportional to 6,496.81, 9,747.95 and 2,549.27

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Solution

The fourth proportional to 6,496.81, 9,747.95 and 2,549.27 is: 3,824.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.81 : 9,747.95 = 2,549.27 : x
  2. Step 2: Convert to fraction form
    6,496.81/9,747.95 = 2,549.27/x
  3. Step 3: Cross multiply
    6,496.81x = 9,747.95 × 2,549.27
  4. Step 4: Simplify right side
    6,496.81x = 24,850,168.12
  5. Step 5: Solve for x
    x = 24,850,168.12/6,496.81
  6. Step 6: Final answer
    x = 3,824.98

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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.