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Finding the Fourth Proportional to 9,174.69, 12,661.35 and 5,195.70

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Solution

The fourth proportional to 9,174.69, 12,661.35 and 5,195.70 is: 7,170.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.69 : 12,661.35 = 5,195.70 : x
  2. Step 2: Convert to fraction form
    9,174.69/12,661.35 = 5,195.70/x
  3. Step 3: Cross multiply
    9,174.69x = 12,661.35 × 5,195.70
  4. Step 4: Simplify right side
    9,174.69x = 65,784,576.20
  5. Step 5: Solve for x
    x = 65,784,576.20/9,174.69
  6. Step 6: Final answer
    x = 7,170.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.