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Finding the Fourth Proportional to 12,343.64, 17,034.19 and 6,754.64

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Solution

The fourth proportional to 12,343.64, 17,034.19 and 6,754.64 is: 9,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,343.64 : 17,034.19 = 6,754.64 : x
  2. Step 2: Convert to fraction form
    12,343.64/17,034.19 = 6,754.64/x
  3. Step 3: Cross multiply
    12,343.64x = 17,034.19 × 6,754.64
  4. Step 4: Simplify right side
    12,343.64x = 115,059,821.14
  5. Step 5: Solve for x
    x = 115,059,821.14/12,343.64
  6. Step 6: Final answer
    x = 9,321.39

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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.