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Finding the Fourth Proportional to 9,794.96, 13,512.52 and 5,813.81

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Solution

The fourth proportional to 9,794.96, 13,512.52 and 5,813.81 is: 8,020.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.96 : 13,512.52 = 5,813.81 : x
  2. Step 2: Convert to fraction form
    9,794.96/13,512.52 = 5,813.81/x
  3. Step 3: Cross multiply
    9,794.96x = 13,512.52 × 5,813.81
  4. Step 4: Simplify right side
    9,794.96x = 78,559,127.27
  5. Step 5: Solve for x
    x = 78,559,127.27/9,794.96
  6. Step 6: Final answer
    x = 8,020.37

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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.