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Finding the Fourth Proportional to 9,706.92, 13,399.92 and 6,349.80

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Solution

The fourth proportional to 9,706.92, 13,399.92 and 6,349.80 is: 8,765.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.92 : 13,399.92 = 6,349.80 : x
  2. Step 2: Convert to fraction form
    9,706.92/13,399.92 = 6,349.80/x
  3. Step 3: Cross multiply
    9,706.92x = 13,399.92 × 6,349.80
  4. Step 4: Simplify right side
    9,706.92x = 85,086,812.02
  5. Step 5: Solve for x
    x = 85,086,812.02/9,706.92
  6. Step 6: Final answer
    x = 8,765.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.