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Finding the Fourth Proportional to 9,507.70, 14,270.69 and 8,122.60

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Solution

The fourth proportional to 9,507.70, 14,270.69 and 8,122.60 is: 12,191.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.70 : 14,270.69 = 8,122.60 : x
  2. Step 2: Convert to fraction form
    9,507.70/14,270.69 = 8,122.60/x
  3. Step 3: Cross multiply
    9,507.70x = 14,270.69 × 8,122.60
  4. Step 4: Simplify right side
    9,507.70x = 115,915,106.59
  5. Step 5: Solve for x
    x = 115,915,106.59/9,507.70
  6. Step 6: Final answer
    x = 12,191.71

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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.