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Finding the Fourth Proportional to 23,930.82, 35,893.71 and 6,402.42

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Solution

The fourth proportional to 23,930.82, 35,893.71 and 6,402.42 is: 9,602.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,930.82 : 35,893.71 = 6,402.42 : x
  2. Step 2: Convert to fraction form
    23,930.82/35,893.71 = 6,402.42/x
  3. Step 3: Cross multiply
    23,930.82x = 35,893.71 × 6,402.42
  4. Step 4: Simplify right side
    23,930.82x = 229,806,606.78
  5. Step 5: Solve for x
    x = 229,806,606.78/23,930.82
  6. Step 6: Final answer
    x = 9,602.96

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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.