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Finding the Fourth Proportional to 12,884.50, 17,780.61 and 7,295.50

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Solution

The fourth proportional to 12,884.50, 17,780.61 and 7,295.50 is: 10,067.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.50 : 17,780.61 = 7,295.50 : x
  2. Step 2: Convert to fraction form
    12,884.50/17,780.61 = 7,295.50/x
  3. Step 3: Cross multiply
    12,884.50x = 17,780.61 × 7,295.50
  4. Step 4: Simplify right side
    12,884.50x = 129,718,440.26
  5. Step 5: Solve for x
    x = 129,718,440.26/12,884.50
  6. Step 6: Final answer
    x = 10,067.79

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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.