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Finding the Fourth Proportional to 9,793.72, 13,515.22 and 5,317.54

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Solution

The fourth proportional to 9,793.72, 13,515.22 and 5,317.54 is: 7,338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.72 : 13,515.22 = 5,317.54 : x
  2. Step 2: Convert to fraction form
    9,793.72/13,515.22 = 5,317.54/x
  3. Step 3: Cross multiply
    9,793.72x = 13,515.22 × 5,317.54
  4. Step 4: Simplify right side
    9,793.72x = 71,867,722.96
  5. Step 5: Solve for x
    x = 71,867,722.96/9,793.72
  6. Step 6: Final answer
    x = 7,338.14

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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.