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Finding the Fourth Proportional to 7,201.56, 9,942.90 and 4,653.96

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Solution

The fourth proportional to 7,201.56, 9,942.90 and 4,653.96 is: 6,425.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.56 : 9,942.90 = 4,653.96 : x
  2. Step 2: Convert to fraction form
    7,201.56/9,942.90 = 4,653.96/x
  3. Step 3: Cross multiply
    7,201.56x = 9,942.90 × 4,653.96
  4. Step 4: Simplify right side
    7,201.56x = 46,273,858.88
  5. Step 5: Solve for x
    x = 46,273,858.88/7,201.56
  6. Step 6: Final answer
    x = 6,425.53

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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.