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Finding the Fourth Proportional to 19,950.96, 27,532 and 10,998.44

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Solution

The fourth proportional to 19,950.96, 27,532 and 10,998.44 is: 15,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,950.96 : 27,532 = 10,998.44 : x
  2. Step 2: Convert to fraction form
    19,950.96/27,532 = 10,998.44/x
  3. Step 3: Cross multiply
    19,950.96x = 27,532 × 10,998.44
  4. Step 4: Simplify right side
    19,950.96x = 302,809,050.08
  5. Step 5: Solve for x
    x = 302,809,050.08/19,950.96
  6. Step 6: Final answer
    x = 15,177.67

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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.