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Finding the Fourth Proportional to 7,478.97, 11,218.45 and 2,548.50

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Solution

The fourth proportional to 7,478.97, 11,218.45 and 2,548.50 is: 3,822.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.97 : 11,218.45 = 2,548.50 : x
  2. Step 2: Convert to fraction form
    7,478.97/11,218.45 = 2,548.50/x
  3. Step 3: Cross multiply
    7,478.97x = 11,218.45 × 2,548.50
  4. Step 4: Simplify right side
    7,478.97x = 28,590,163.73
  5. Step 5: Solve for x
    x = 28,590,163.73/7,478.97
  6. Step 6: Final answer
    x = 3,822.74

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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.