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Finding the Fourth Proportional to 9,282.36, 13,923.54 and 2,709.22

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Solution

The fourth proportional to 9,282.36, 13,923.54 and 2,709.22 is: 4,063.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.36 : 13,923.54 = 2,709.22 : x
  2. Step 2: Convert to fraction form
    9,282.36/13,923.54 = 2,709.22/x
  3. Step 3: Cross multiply
    9,282.36x = 13,923.54 × 2,709.22
  4. Step 4: Simplify right side
    9,282.36x = 37,721,933.04
  5. Step 5: Solve for x
    x = 37,721,933.04/9,282.36
  6. Step 6: Final answer
    x = 4,063.83

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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.