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Finding the Fourth Proportional to 10,272.94, 15,400.16 and 3,694.50

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Solution

The fourth proportional to 10,272.94, 15,400.16 and 3,694.50 is: 5,538.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.94 : 15,400.16 = 3,694.50 : x
  2. Step 2: Convert to fraction form
    10,272.94/15,400.16 = 3,694.50/x
  3. Step 3: Cross multiply
    10,272.94x = 15,400.16 × 3,694.50
  4. Step 4: Simplify right side
    10,272.94x = 56,895,886.50
  5. Step 5: Solve for x
    x = 56,895,886.50/10,272.94
  6. Step 6: Final answer
    x = 5,538.42

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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.