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Finding the Fourth Proportional to 10,271.93, 15,406.27 and 3,694.73

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Solution

The fourth proportional to 10,271.93, 15,406.27 and 3,694.73 is: 5,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.93 : 15,406.27 = 3,694.73 : x
  2. Step 2: Convert to fraction form
    10,271.93/15,406.27 = 3,694.73/x
  3. Step 3: Cross multiply
    10,271.93x = 15,406.27 × 3,694.73
  4. Step 4: Simplify right side
    10,271.93x = 56,921,921.69
  5. Step 5: Solve for x
    x = 56,921,921.69/10,271.93
  6. Step 6: Final answer
    x = 5,541.50

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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.