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Finding the Fourth Proportional to 15,950.53, 22,012.73 and 9,238.47

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Solution

The fourth proportional to 15,950.53, 22,012.73 and 9,238.47 is: 12,749.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,950.53 : 22,012.73 = 9,238.47 : x
  2. Step 2: Convert to fraction form
    15,950.53/22,012.73 = 9,238.47/x
  3. Step 3: Cross multiply
    15,950.53x = 22,012.73 × 9,238.47
  4. Step 4: Simplify right side
    15,950.53x = 203,363,945.72
  5. Step 5: Solve for x
    x = 203,363,945.72/15,950.53
  6. Step 6: Final answer
    x = 12,749.67

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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.