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Finding the Fourth Proportional to 11,433, 17,149.20 and 6,170.32

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Solution

The fourth proportional to 11,433, 17,149.20 and 6,170.32 is: 9,255.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433 : 17,149.20 = 6,170.32 : x
  2. Step 2: Convert to fraction form
    11,433/17,149.20 = 6,170.32/x
  3. Step 3: Cross multiply
    11,433x = 17,149.20 × 6,170.32
  4. Step 4: Simplify right side
    11,433x = 105,816,051.74
  5. Step 5: Solve for x
    x = 105,816,051.74/11,433
  6. Step 6: Final answer
    x = 9,255.32

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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.