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Finding the Fourth Proportional to 9,794.92, 14,683.50 and 3,553.48

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Solution

The fourth proportional to 9,794.92, 14,683.50 and 3,553.48 is: 5,327.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.92 : 14,683.50 = 3,553.48 : x
  2. Step 2: Convert to fraction form
    9,794.92/14,683.50 = 3,553.48/x
  3. Step 3: Cross multiply
    9,794.92x = 14,683.50 × 3,553.48
  4. Step 4: Simplify right side
    9,794.92x = 52,177,523.58
  5. Step 5: Solve for x
    x = 52,177,523.58/9,794.92
  6. Step 6: Final answer
    x = 5,327.00

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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.