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Finding the Fourth Proportional to 9,104.67, 13,659.57 and 8,237.16

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Solution

The fourth proportional to 9,104.67, 13,659.57 and 8,237.16 is: 12,358.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.67 : 13,659.57 = 8,237.16 : x
  2. Step 2: Convert to fraction form
    9,104.67/13,659.57 = 8,237.16/x
  3. Step 3: Cross multiply
    9,104.67x = 13,659.57 × 8,237.16
  4. Step 4: Simplify right side
    9,104.67x = 112,516,063.62
  5. Step 5: Solve for x
    x = 112,516,063.62/9,104.67
  6. Step 6: Final answer
    x = 12,358.06

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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.