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Finding the Fourth Proportional to 12,170.90, 16,794.32 and 7,133.96

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Solution

The fourth proportional to 12,170.90, 16,794.32 and 7,133.96 is: 9,843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.90 : 16,794.32 = 7,133.96 : x
  2. Step 2: Convert to fraction form
    12,170.90/16,794.32 = 7,133.96/x
  3. Step 3: Cross multiply
    12,170.90x = 16,794.32 × 7,133.96
  4. Step 4: Simplify right side
    12,170.90x = 119,810,013.42
  5. Step 5: Solve for x
    x = 119,810,013.42/12,170.90
  6. Step 6: Final answer
    x = 9,843.97

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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.