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Finding the Fourth Proportional to 7,227.27, 9,972.33 and 4,040.63

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Solution

The fourth proportional to 7,227.27, 9,972.33 and 4,040.63 is: 5,575.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.27 : 9,972.33 = 4,040.63 : x
  2. Step 2: Convert to fraction form
    7,227.27/9,972.33 = 4,040.63/x
  3. Step 3: Cross multiply
    7,227.27x = 9,972.33 × 4,040.63
  4. Step 4: Simplify right side
    7,227.27x = 40,294,495.77
  5. Step 5: Solve for x
    x = 40,294,495.77/7,227.27
  6. Step 6: Final answer
    x = 5,575.34

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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.