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Finding the Fourth Proportional to 15,906.78, 23,868.37 and 6,553.71

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Solution

The fourth proportional to 15,906.78, 23,868.37 and 6,553.71 is: 9,833.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906.78 : 23,868.37 = 6,553.71 : x
  2. Step 2: Convert to fraction form
    15,906.78/23,868.37 = 6,553.71/x
  3. Step 3: Cross multiply
    15,906.78x = 23,868.37 × 6,553.71
  4. Step 4: Simplify right side
    15,906.78x = 156,426,383.34
  5. Step 5: Solve for x
    x = 156,426,383.34/15,906.78
  6. Step 6: Final answer
    x = 9,833.94

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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.