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Finding the Fourth Proportional to 9,174.70, 12,661.13 and 5,196.58

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Solution

The fourth proportional to 9,174.70, 12,661.13 and 5,196.58 is: 7,171.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.70 : 12,661.13 = 5,196.58 : x
  2. Step 2: Convert to fraction form
    9,174.70/12,661.13 = 5,196.58/x
  3. Step 3: Cross multiply
    9,174.70x = 12,661.13 × 5,196.58
  4. Step 4: Simplify right side
    9,174.70x = 65,794,574.94
  5. Step 5: Solve for x
    x = 65,794,574.94/9,174.70
  6. Step 6: Final answer
    x = 7,171.31

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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.