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Finding the Fourth Proportional to 7,576.25, 10,456.31 and 7,244.15

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Solution

The fourth proportional to 7,576.25, 10,456.31 and 7,244.15 is: 9,997.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576.25 : 10,456.31 = 7,244.15 : x
  2. Step 2: Convert to fraction form
    7,576.25/10,456.31 = 7,244.15/x
  3. Step 3: Cross multiply
    7,576.25x = 10,456.31 × 7,244.15
  4. Step 4: Simplify right side
    7,576.25x = 75,747,041.87
  5. Step 5: Solve for x
    x = 75,747,041.87/7,576.25
  6. Step 6: Final answer
    x = 9,997.96

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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.