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Finding the Fourth Proportional to 4,825.31, 7,237.78 and 1,747.31

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Solution

The fourth proportional to 4,825.31, 7,237.78 and 1,747.31 is: 2,620.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825.31 : 7,237.78 = 1,747.31 : x
  2. Step 2: Convert to fraction form
    4,825.31/7,237.78 = 1,747.31/x
  3. Step 3: Cross multiply
    4,825.31x = 7,237.78 × 1,747.31
  4. Step 4: Simplify right side
    4,825.31x = 12,646,604.81
  5. Step 5: Solve for x
    x = 12,646,604.81/4,825.31
  6. Step 6: Final answer
    x = 2,620.89

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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.