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Finding the Fourth Proportional to 23,857.70, 35,784.11 and 6,329.30

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Solution

The fourth proportional to 23,857.70, 35,784.11 and 6,329.30 is: 9,493.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,857.70 : 35,784.11 = 6,329.30 : x
  2. Step 2: Convert to fraction form
    23,857.70/35,784.11 = 6,329.30/x
  3. Step 3: Cross multiply
    23,857.70x = 35,784.11 × 6,329.30
  4. Step 4: Simplify right side
    23,857.70x = 226,488,204.33
  5. Step 5: Solve for x
    x = 226,488,204.33/23,857.70
  6. Step 6: Final answer
    x = 9,493.30

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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.