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Finding the Fourth Proportional to 7,849.98, 11,759.24 and 4,728.24

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Solution

The fourth proportional to 7,849.98, 11,759.24 and 4,728.24 is: 7,082.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.98 : 11,759.24 = 4,728.24 : x
  2. Step 2: Convert to fraction form
    7,849.98/11,759.24 = 4,728.24/x
  3. Step 3: Cross multiply
    7,849.98x = 11,759.24 × 4,728.24
  4. Step 4: Simplify right side
    7,849.98x = 55,600,508.94
  5. Step 5: Solve for x
    x = 55,600,508.94/7,849.98
  6. Step 6: Final answer
    x = 7,082.89

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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.