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Finding the Fourth Proportional to 12,751.62, 17,597.24 and 7,162.62

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Solution

The fourth proportional to 12,751.62, 17,597.24 and 7,162.62 is: 9,884.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751.62 : 17,597.24 = 7,162.62 : x
  2. Step 2: Convert to fraction form
    12,751.62/17,597.24 = 7,162.62/x
  3. Step 3: Cross multiply
    12,751.62x = 17,597.24 × 7,162.62
  4. Step 4: Simplify right side
    12,751.62x = 126,042,343.17
  5. Step 5: Solve for x
    x = 126,042,343.17/12,751.62
  6. Step 6: Final answer
    x = 9,884.42

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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.