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Finding the Fourth Proportional to 17,112.76, 25,644.66 and 7,729.48

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Solution

The fourth proportional to 17,112.76, 25,644.66 and 7,729.48 is: 11,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,112.76 : 25,644.66 = 7,729.48 : x
  2. Step 2: Convert to fraction form
    17,112.76/25,644.66 = 7,729.48/x
  3. Step 3: Cross multiply
    17,112.76x = 25,644.66 × 7,729.48
  4. Step 4: Simplify right side
    17,112.76x = 198,219,886.58
  5. Step 5: Solve for x
    x = 198,219,886.58/17,112.76
  6. Step 6: Final answer
    x = 11,583.16

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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.