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Finding the Fourth Proportional to 12,842.62, 17,722.94 and 7,537.52

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Solution

The fourth proportional to 12,842.62, 17,722.94 and 7,537.52 is: 10,401.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.62 : 17,722.94 = 7,537.52 : x
  2. Step 2: Convert to fraction form
    12,842.62/17,722.94 = 7,537.52/x
  3. Step 3: Cross multiply
    12,842.62x = 17,722.94 × 7,537.52
  4. Step 4: Simplify right side
    12,842.62x = 133,587,021.33
  5. Step 5: Solve for x
    x = 133,587,021.33/12,842.62
  6. Step 6: Final answer
    x = 10,401.85

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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.