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Finding the Fourth Proportional to 9,085.91, 13,611.48 and 7,614.54

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Solution

The fourth proportional to 9,085.91, 13,611.48 and 7,614.54 is: 11,407.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085.91 : 13,611.48 = 7,614.54 : x
  2. Step 2: Convert to fraction form
    9,085.91/13,611.48 = 7,614.54/x
  3. Step 3: Cross multiply
    9,085.91x = 13,611.48 × 7,614.54
  4. Step 4: Simplify right side
    9,085.91x = 103,645,158.92
  5. Step 5: Solve for x
    x = 103,645,158.92/9,085.91
  6. Step 6: Final answer
    x = 11,407.25

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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.