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Finding the Fourth Proportional to 9,117.54, 13,682.06 and 5,229.54

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Solution

The fourth proportional to 9,117.54, 13,682.06 and 5,229.54 is: 7,847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.54 : 13,682.06 = 5,229.54 : x
  2. Step 2: Convert to fraction form
    9,117.54/13,682.06 = 5,229.54/x
  3. Step 3: Cross multiply
    9,117.54x = 13,682.06 × 5,229.54
  4. Step 4: Simplify right side
    9,117.54x = 71,550,880.05
  5. Step 5: Solve for x
    x = 71,550,880.05/9,117.54
  6. Step 6: Final answer
    x = 7,847.61

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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.