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Finding the Fourth Proportional to 7,227.85, 9,974.64 and 4,041.06

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Solution

The fourth proportional to 7,227.85, 9,974.64 and 4,041.06 is: 5,576.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.85 : 9,974.64 = 4,041.06 : x
  2. Step 2: Convert to fraction form
    7,227.85/9,974.64 = 4,041.06/x
  3. Step 3: Cross multiply
    7,227.85x = 9,974.64 × 4,041.06
  4. Step 4: Simplify right side
    7,227.85x = 40,308,096.47
  5. Step 5: Solve for x
    x = 40,308,096.47/7,227.85
  6. Step 6: Final answer
    x = 5,576.78

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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.