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Finding the Fourth Proportional to 9,170.74, 13,733.74 and 8,283.30

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Solution

The fourth proportional to 9,170.74, 13,733.74 and 8,283.30 is: 12,404.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.74 : 13,733.74 = 8,283.30 : x
  2. Step 2: Convert to fraction form
    9,170.74/13,733.74 = 8,283.30/x
  3. Step 3: Cross multiply
    9,170.74x = 13,733.74 × 8,283.30
  4. Step 4: Simplify right side
    9,170.74x = 113,760,688.54
  5. Step 5: Solve for x
    x = 113,760,688.54/9,170.74
  6. Step 6: Final answer
    x = 12,404.74

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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.