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Finding the Fourth Proportional to 6,918.42, 10,414.56 and 6,204

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Solution

The fourth proportional to 6,918.42, 10,414.56 and 6,204 is: 9,339.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,918.42 : 10,414.56 = 6,204 : x
  2. Step 2: Convert to fraction form
    6,918.42/10,414.56 = 6,204/x
  3. Step 3: Cross multiply
    6,918.42x = 10,414.56 × 6,204
  4. Step 4: Simplify right side
    6,918.42x = 64,611,930.24
  5. Step 5: Solve for x
    x = 64,611,930.24/6,918.42
  6. Step 6: Final answer
    x = 9,339.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.