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Finding the Fourth Proportional to 10,201.73, 14,078.13 and 5,725.37

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Solution

The fourth proportional to 10,201.73, 14,078.13 and 5,725.37 is: 7,900.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.73 : 14,078.13 = 5,725.37 : x
  2. Step 2: Convert to fraction form
    10,201.73/14,078.13 = 5,725.37/x
  3. Step 3: Cross multiply
    10,201.73x = 14,078.13 × 5,725.37
  4. Step 4: Simplify right side
    10,201.73x = 80,602,432.77
  5. Step 5: Solve for x
    x = 80,602,432.77/10,201.73
  6. Step 6: Final answer
    x = 7,900.86

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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.