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Finding the Fourth Proportional to 9,144.87, 13,724.73 and 4,763.58

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Solution

The fourth proportional to 9,144.87, 13,724.73 and 4,763.58 is: 7,149.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.87 : 13,724.73 = 4,763.58 : x
  2. Step 2: Convert to fraction form
    9,144.87/13,724.73 = 4,763.58/x
  3. Step 3: Cross multiply
    9,144.87x = 13,724.73 × 4,763.58
  4. Step 4: Simplify right side
    9,144.87x = 65,378,849.33
  5. Step 5: Solve for x
    x = 65,378,849.33/9,144.87
  6. Step 6: Final answer
    x = 7,149.24

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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.