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Finding the Fourth Proportional to 7,229.97, 10,842.12 and 2,548.98

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Solution

The fourth proportional to 7,229.97, 10,842.12 and 2,548.98 is: 3,822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.97 : 10,842.12 = 2,548.98 : x
  2. Step 2: Convert to fraction form
    7,229.97/10,842.12 = 2,548.98/x
  3. Step 3: Cross multiply
    7,229.97x = 10,842.12 × 2,548.98
  4. Step 4: Simplify right side
    7,229.97x = 27,636,347.04
  5. Step 5: Solve for x
    x = 27,636,347.04/7,229.97
  6. Step 6: Final answer
    x = 3,822.47

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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.