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Finding the Fourth Proportional to 15,953.14, 22,014.48 and 9,238.24

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Solution

The fourth proportional to 15,953.14, 22,014.48 and 9,238.24 is: 12,748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,953.14 : 22,014.48 = 9,238.24 : x
  2. Step 2: Convert to fraction form
    15,953.14/22,014.48 = 9,238.24/x
  3. Step 3: Cross multiply
    15,953.14x = 22,014.48 × 9,238.24
  4. Step 4: Simplify right side
    15,953.14x = 203,375,049.72
  5. Step 5: Solve for x
    x = 203,375,049.72/15,953.14
  6. Step 6: Final answer
    x = 12,748.28

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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.