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Finding the Fourth Proportional to 12,343.46, 17,033.95 and 6,678.18

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Solution

The fourth proportional to 12,343.46, 17,033.95 and 6,678.18 is: 9,215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,343.46 : 17,033.95 = 6,678.18 : x
  2. Step 2: Convert to fraction form
    12,343.46/17,033.95 = 6,678.18/x
  3. Step 3: Cross multiply
    12,343.46x = 17,033.95 × 6,678.18
  4. Step 4: Simplify right side
    12,343.46x = 113,755,843.91
  5. Step 5: Solve for x
    x = 113,755,843.91/12,343.46
  6. Step 6: Final answer
    x = 9,215.88

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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.